Search a number
-
+
5649495552 = 29333113183
BaseRepresentation
bin1010100001011110…
…00111011000000000
3112120201112002222000
411100233013120000
543032232324202
62332332144000
7256666630341
oct52057073000
915521462860
105649495552
112439aa1698
121118008000
136c059709c
143b84500c8
15230e9e91c
hex150bc7600

5649495552 has 160 divisors (see below), whose sum is σ = 17263656960. Its totient is φ = 1822279680.

The previous prime is 5649495547. The next prime is 5649495557. The reversal of 5649495552 is 2555949465.

5649495552 is a `hidden beast` number, since 5 + 6 + 49 + 49 + 5 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (5649495547) and next prime (5649495557).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5649495557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421953 + ... + 435135.

It is an arithmetic number, because the mean of its divisors is an integer number (107897856).

Almost surely, 25649495552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5649495552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631828480).

5649495552 is an abundant number, since it is smaller than the sum of its proper divisors (11614161408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5649495552 is a wasteful number, since it uses less digits than its factorization.

5649495552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13241 (or 13219 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The square root of 5649495552 is about 75163.1262787811. The cubic root of 5649495552 is about 1781.0244861981.

The spelling of 5649495552 in words is "five billion, six hundred forty-nine million, four hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 576 744 768 837 864 992 1116 1152 1488 1536 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 4608 5952 6696 6912 7936 8928 11904 13183 13392 13824 15872 17856 23808 26366 26784 35712 39549 47616 52732 53568 71424 79098 105464 107136 118647 142848 158196 210928 214272 237294 316392 355941 408673 421856 428544 474588 632784 711882 817346 843712 949176 1226019 1265568 1423764 1634692 1687424 1898352 2452038 2531136 2847528 3269384 3374848 3678057 3796704 4904076 5062272 5695056 6538768 6749696 7356114 7593408 9808152 10124544 11034171 11390112 13077536 14712228 15186816 19616304 20249088 22068342 22780224 26155072 29424456 30373632 39232608 44136684 45560448 52310144 58848912 60747264 78465216 88273368 91120896 104620288 117697824 156930432 176546736 182241792 209240576 235395648 313860864 353093472 470791296 627721728 706186944 941582592 1412373888 1883165184 2824747776 5649495552