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85629330 = 2325951437
BaseRepresentation
bin1010001101010…
…01100110010010
312222010102100200
411012221212102
5133410114310
612255200030
72056560123
oct506514622
9188112320
1085629330
1144376646
1224816016
1314981757
14b53004a
1577b69c0
hex51a9992

85629330 has 24 divisors (see below), whose sum is σ = 222636492. Its totient is φ = 22834464.

The previous prime is 85629307. The next prime is 85629343. The reversal of 85629330 is 3392658.

85629330 is a `hidden beast` number, since 8 + 562 + 93 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81054009 + 4575321 = 9003^2 + 2139^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475629 + ... + 475808.

Almost surely, 285629330 is an apocalyptic number.

85629330 is an abundant number, since it is smaller than the sum of its proper divisors (137007162).

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

85629330 is a wasteful number, since it uses less digits than its factorization.

85629330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951450 (or 951447 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 85629330 is about 9253.6117273203. The cubic root of 85629330 is about 440.7654204634.

The spelling of 85629330 in words is "eighty-five million, six hundred twenty-nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 951437 1902874 2854311 4757185 5708622 8562933 9514370 14271555 17125866 28543110 42814665 85629330