Search a number
-
+
5352778944 = 26334175553
BaseRepresentation
bin1001111110000110…
…01110110011000000
3111211001012100022000
410333003032303000
541430302411234
62243052344000
7246434604342
oct47703166300
914731170260
105352778944
1122a7560057
121054775000
13673c78926
1438ac93292
15214ddd899
hex13f0cecc0

5352778944 has 112 divisors (see below), whose sum is σ = 16120201440. Its totient is φ = 1740718080.

The previous prime is 5352778931. The next prime is 5352778969. The reversal of 5352778944 is 4498772535.

It is a happy number.

5352778944 is a `hidden beast` number, since 5 + 3 + 527 + 78 + 9 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33072 + ... + 108624.

It is an arithmetic number, because the mean of its divisors is an integer number (143930370).

Almost surely, 25352778944 is an apocalyptic number.

5352778944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5352778944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060100720).

5352778944 is an abundant number, since it is smaller than the sum of its proper divisors (10767422496).

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

5352778944 is a wasteful number, since it uses less digits than its factorization.

5352778944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75615 (or 75599 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 5352778944 is about 73162.6881955550. The cubic root of 5352778944 is about 1749.2817671961.

The spelling of 5352778944 in words is "five billion, three hundred fifty-two million, seven hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1728 1968 2214 2624 2952 3936 4428 5904 7872 8856 11808 17712 23616 35424 70848 75553 151106 226659 302212 453318 604424 679977 906636 1208848 1359954 1813272 2039931 2417696 2719908 3097673 3626544 4079862 4835392 5439816 6195346 7253088 8159724 9293019 10879632 12390692 14506176 16319448 18586038 21759264 24781384 27879057 32638896 37172076 43518528 49562768 55758114 65277792 74344152 83637171 99125536 111516228 130555584 148688304 167274342 198251072 223032456 297376608 334548684 446064912 594753216 669097368 892129824 1338194736 1784259648 2676389472 5352778944