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642956244 = 22373315039
BaseRepresentation
bin100110010100101…
…011101111010100
31122210211120011020
4212110223233110
52304044044434
6143444441140
721635016000
oct4624535724
91583746136
10642956244
112aaa285a7
1215b3a91b0
13a3288ba8
1461569700
153b6a5849
hex2652bbd4

642956244 has 96 divisors (see below), whose sum is σ = 1806336000. Its totient is φ = 177740640.

The previous prime is 642956221. The next prime is 642956261. The reversal of 642956244 is 442659246.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 642956196 and 642956205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125077 + ... + 130115.

It is an arithmetic number, because the mean of its divisors is an integer number (18816000).

Almost surely, 2642956244 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 642956244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903168000).

642956244 is an abundant number, since it is smaller than the sum of its proper divisors (1163379756).

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

642956244 is a wasteful number, since it uses less digits than its factorization.

642956244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5082 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 642956244 is about 25356.5818674363. The cubic root of 642956244 is about 863.0987204388.

The spelling of 642956244 in words is "six hundred forty-two million, nine hundred fifty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 343 372 434 588 651 686 868 1029 1302 1372 1519 2058 2604 3038 4116 4557 5039 6076 9114 10078 10633 15117 18228 20156 21266 30234 31899 35273 42532 60468 63798 70546 105819 127596 141092 156209 211638 246911 312418 423276 468627 493822 624836 740733 937254 987644 1093463 1481466 1728377 1874508 2186926 2962932 3280389 3456754 4373852 5185131 6560778 6913508 7654241 10370262 13121556 15308482 20740524 22962723 30616964 45925446 53579687 91850892 107159374 160739061 214318748 321478122 642956244