Search a number
-
+
5645005040 = 245177952541
BaseRepresentation
bin1010100000111011…
…11111000011110000
3112120102001222010202
411100131333003300
543030110130130
62332052014332
7256613515433
oct52035770360
915512058122
105645005040
112437504924
1211166013a8
136bc68418c
143b7a0181a
152308b4145
hex15077f0f0

5645005040 has 80 divisors (see below), whose sum is σ = 14072849280. Its totient is φ = 2098237440.

The previous prime is 5645005031. The next prime is 5645005049. The reversal of 5645005040 is 405005465.

It is an interprime number because it is at equal distance from previous prime (5645005031) and next prime (5645005049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5645004994 and 5645005012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5645005049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81170 + ... + 133710.

It is an arithmetic number, because the mean of its divisors is an integer number (175910616).

Almost surely, 25645005040 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 5645005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036424640).

5645005040 is an abundant number, since it is smaller than the sum of its proper divisors (8427844240).

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

5645005040 is a wasteful number, since it uses less digits than its factorization.

5645005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52650 (or 52644 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 5645005040 is about 75133.2485654653. The cubic root of 5645005040 is about 1780.5524775802.

The spelling of 5645005040 in words is "five billion, six hundred forty-five million, five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 136 158 170 272 316 340 395 632 680 790 1264 1343 1360 1580 2686 3160 5372 6320 6715 10744 13430 21488 26860 52541 53720 105082 107440 210164 262705 420328 525410 840656 893197 1050820 1786394 2101640 3572788 4150739 4203280 4465985 7145576 8301478 8931970 14291152 16602956 17863940 20753695 33205912 35727880 41507390 66411824 70562563 71455760 83014780 141125126 166029560 282250252 332059120 352812815 564500504 705625630 1129001008 1411251260 2822502520 5645005040