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500372964 = 22357135657
BaseRepresentation
bin11101110100110…
…001010111100100
31021212112120200000
4131310301113210
52011043413324
6121352421300
715254046210
oct3564612744
91255476600
10500372964
112374a1683
1211b6a7830
137c885aa0
144a651940
152dddd9c9
hex1dd315e4

500372964 has 144 divisors (see below), whose sum is σ = 1614657408. Its totient is φ = 131943168.

The previous prime is 500372903. The next prime is 500372969. The reversal of 500372964 is 469273005.

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 (500372969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85624 + ... + 91280.

Almost surely, 2500372964 is an apocalyptic number.

500372964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500372964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807328704).

500372964 is an abundant number, since it is smaller than the sum of its proper divisors (1114284444).

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

500372964 is a wasteful number, since it uses less digits than its factorization.

500372964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 500372964 is about 22369.0179489400. The cubic root of 500372964 is about 793.8978247507.

The spelling of 500372964 in words is "five hundred million, three hundred seventy-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4914 5657 6318 6804 7371 9828 11314 12636 14742 16971 22113 22628 29484 33942 39599 44226 50913 67884 73541 79198 88452 101826 118797 147082 152739 158396 203652 220623 237594 294164 305478 356391 441246 458217 475188 514787 610956 661869 712782 882492 916434 1029574 1069173 1323738 1374651 1425564 1544361 1832868 1985607 2059148 2138346 2647476 2749302 3088722 3207519 3971214 4276692 4633083 5498604 5956821 6177444 6415038 7942428 9266166 9622557 11913642 12830076 13899249 17870463 18532332 19245114 23827284 27798498 35740926 38490228 41697747 55596996 71481852 83395494 125093241 166790988 250186482 500372964