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200756328 = 233232912541
BaseRepresentation
bin10111111011101…
…00110001101000
3111222202110220120
423331310301220
5402343200303
631530523240
74655254263
oct1375646150
9458673816
10200756328
11a335a223
1257296520
1332790636
141c93bcda
1512958553
hexbf74c68

200756328 has 64 divisors (see below), whose sum is σ = 541814400. Its totient is φ = 61797120.

The previous prime is 200756323. The next prime is 200756359. The reversal of 200756328 is 823657002.

It is not an unprimeable number, because it can be changed into a prime (200756323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9738 + ... + 22278.

It is an arithmetic number, because the mean of its divisors is an integer number (8465850).

Almost surely, 2200756328 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 200756328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270907200).

200756328 is an abundant number, since it is smaller than the sum of its proper divisors (341058072).

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

200756328 is a wasteful number, since it uses less digits than its factorization.

200756328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12602 (or 12598 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 200756328 is about 14168.8506238156. The cubic root of 200756328 is about 585.5397925126.

The spelling of 200756328 in words is "two hundred million, seven hundred fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 4002 5336 8004 12541 16008 25082 37623 50164 75246 100328 150492 288443 300984 363689 576886 727378 865329 1091067 1153772 1454756 1730658 2182134 2307544 2909512 3461316 4364268 6922632 8364847 8728536 16729694 25094541 33459388 50189082 66918776 100378164 200756328