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645535152 = 243217377127
BaseRepresentation
bin100110011110100…
…001010110110000
31122222200120202100
4212132201112300
52310224111102
6144020020400
721665646453
oct4636412660
91588616670
10645535152
1130142a129
12160231700
13a397c982
1461a3b49a
153ba14a1c
hex267a15b0

645535152 has 120 divisors (see below), whose sum is σ = 1964847456. Its totient is φ = 197019648.

The previous prime is 645535147. The next prime is 645535153. The reversal of 645535152 is 251535546.

645535152 is a `hidden beast` number, since 6 + 4 + 553 + 51 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (645535153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87013 + ... + 94139.

Almost surely, 2645535152 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 645535152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982423728).

645535152 is an abundant number, since it is smaller than the sum of its proper divisors (1319312304).

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

645535152 is a wasteful number, since it uses less digits than its factorization.

645535152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7195 (or 7186 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 645535152 is about 25407.3838086490. The cubic root of 645535152 is about 864.2511486965.

The spelling of 645535152 in words is "six hundred forty-five million, five hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 408 444 592 612 629 666 816 888 1224 1258 1332 1776 1887 2448 2516 2664 3774 5032 5328 5661 7127 7548 10064 11322 14254 15096 21381 22644 28508 30192 42762 45288 57016 64143 85524 90576 114032 121159 128286 171048 242318 256572 263699 342096 363477 484636 513144 527398 726954 791097 969272 1026288 1054796 1090431 1453908 1582194 1938544 2109592 2180862 2373291 2907816 3164388 4219184 4361724 4482883 4746582 5815632 6328776 8723448 8965766 9493164 12657552 13448649 17446896 17931532 18986328 26897298 35863064 37972656 40345947 53794596 71726128 80691894 107589192 161383788 215178384 322767576 645535152