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200790432 = 2532292829
BaseRepresentation
bin10111111011111…
…01000110100000
3111222211012200200
423331331012200
5402400243212
631531345200
74655455563
oct1375750640
9458735620
10200790432
11a3382907
12572b2200
13327a300b
141c94a4da
15129636dc
hexbf7d1a0

200790432 has 108 divisors (see below), whose sum is σ = 592079670. Its totient is φ = 64544256.

The previous prime is 200790419. The next prime is 200790479. The reversal of 200790432 is 234097002.

It can be written as a sum of positive squares in 3 ways, for example, as 179667216 + 21123216 = 13404^2 + 4596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200790396 and 200790405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 241794 + ... + 242622.

Almost surely, 2200790432 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 200790432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296039835).

200790432 is an abundant number, since it is smaller than the sum of its proper divisors (391289238).

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

200790432 is a wasteful number, since it uses less digits than its factorization.

200790432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 200790432 is about 14170.0540577656. The cubic root of 200790432 is about 585.5729473304.

The spelling of 200790432 in words is "two hundred million, seven hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 829 841 928 1044 1392 1658 1682 2088 2487 2523 2784 3316 3364 4176 4974 5046 6632 6728 7461 7569 8352 9948 10092 13264 13456 14922 15138 19896 20184 24041 26528 26912 29844 30276 39792 40368 48082 59688 60552 72123 79584 80736 96164 119376 121104 144246 192328 216369 238752 242208 288492 384656 432738 576984 697189 769312 865476 1153968 1394378 1730952 2091567 2307936 2788756 3461904 4183134 5577512 6274701 6923808 8366268 11155024 12549402 16732536 22310048 25098804 33465072 50197608 66930144 100395216 200790432