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645574032 = 243271233271
BaseRepresentation
bin100110011110101…
…010110110010000
31122222202120002100
4212132222312100
52310231332112
6144020520400
721666201015
oct4636526620
91588676070
10645574032
11301456364
12160250100
13a399458c
1461a4b70c
153ba212dc
hex267aad90

645574032 has 120 divisors (see below), whose sum is σ = 1846810368. Its totient is φ = 210470400.

The previous prime is 645574019. The next prime is 645574037. The reversal of 645574032 is 230475546.

645574032 is a `hidden beast` number, since 64 + 557 + 40 + 3 + 2 = 666.

645574032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (645574037) 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, 2382057 + ... + 2382327.

Almost surely, 2645574032 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 645574032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923405184).

645574032 is an abundant number, since it is smaller than the sum of its proper divisors (1201236336).

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

645574032 is a wasteful number, since it uses less digits than its factorization.

645574032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 645574032 is about 25408.1489290346. The cubic root of 645574032 is about 864.2684993706.

The spelling of 645574032 in words is "six hundred forty-five million, five hundred seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 233 271 284 426 466 542 568 639 699 813 852 932 1084 1136 1278 1398 1626 1704 1864 2097 2168 2439 2556 2796 3252 3408 3728 4194 4336 4878 5112 5592 6504 8388 9756 10224 11184 13008 16543 16776 19241 19512 33086 33552 38482 39024 49629 57723 63143 66172 76964 99258 115446 126286 132344 148887 153928 173169 189429 198516 230892 252572 264688 297774 307856 346338 378858 397032 461784 505144 568287 595548 692676 757716 794064 923568 1010288 1136574 1191096 1385352 1515432 2273148 2382192 2770704 3030864 4483153 4546296 8966306 9092592 13449459 17932612 26898918 35865224 40348377 53797836 71730448 80696754 107595672 161393508 215191344 322787016 645574032