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83952225 = 32527151353
BaseRepresentation
bin1010000000100…
…00001001100001
312211222012210200
411000100021201
5132442432400
612155215413
72036403450
oct500201141
9184865720
1083952225
1143430605
1224147569
1314515296
14b214b97
157584b00
hex5010261

83952225 has 72 divisors (see below), whose sum is σ = 173476992. Its totient is φ = 38016000.

The previous prime is 83952217. The next prime is 83952251. The reversal of 83952225 is 52225938.

It is not a de Polignac number, because 83952225 - 23 = 83952217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83952225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 237649 + ... + 238001.

Almost surely, 283952225 is an apocalyptic number.

It is an amenable number.

83952225 is an abundant number, since it is smaller than the sum of its proper divisors (89524767).

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

83952225 is a wasteful number, since it uses less digits than its factorization.

83952225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 83952225 is about 9162.5446792908. The cubic root of 83952225 is about 437.8688698593.

The spelling of 83952225 in words is "eighty-three million, nine hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 151 175 225 315 353 453 525 755 1057 1059 1359 1575 1765 2265 2471 3171 3177 3775 5285 5295 6795 7413 8825 9513 11325 12355 15855 15885 22239 26425 26475 33975 37065 47565 53303 61775 79275 79425 111195 159909 185325 237825 266515 373121 479727 555975 799545 1119363 1332575 1865605 2398635 3358089 3997725 5596815 9328025 11993175 16790445 27984075 83952225