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645560032 = 251343151239
BaseRepresentation
bin100110011110100…
…111011011100000
31122222201211212211
4212132213123200
52310230410112
6144020331504
721666112135
oct4636473340
91588654784
10645560032
11301446897
12160243b94
13a398b0b0
1461a4658c
153ba1c0a7
hex267a76e0

645560032 has 96 divisors (see below), whose sum is σ = 1415715840. Its totient is φ = 287884800.

The previous prime is 645559991. The next prime is 645560143. The reversal of 645560032 is 230065546.

It is a junction number, because it is equal to n+sod(n) for n = 645559976 and 645560003.

It is a congruent number.

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, 2700969 + ... + 2701207.

It is an arithmetic number, because the mean of its divisors is an integer number (14747040).

Almost surely, 2645560032 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 645560032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707857920).

645560032 is an abundant number, since it is smaller than the sum of its proper divisors (770155808).

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

645560032 is a wasteful number, since it uses less digits than its factorization.

645560032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 645560032 is about 25407.8734253774. The cubic root of 645560032 is about 864.2622517801.

The spelling of 645560032 in words is "six hundred forty-five million, five hundred sixty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 151 172 208 239 302 344 416 478 559 604 688 956 1118 1208 1376 1912 1963 2236 2416 3107 3824 3926 4472 4832 6214 6493 7648 7852 8944 10277 12428 12986 15704 17888 20554 24856 25972 31408 36089 41108 49712 51944 62816 72178 82216 84409 99424 103888 133601 144356 164432 168818 207776 267202 288712 328864 337636 469157 534404 577424 675272 938314 1068808 1154848 1350544 1551827 1876628 2137616 2701088 3103654 3753256 4275232 6207308 7506512 12414616 15013024 20173751 24829232 40347502 49658464 80695004 161390008 322780016 645560032