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85052737 = 7112941929
BaseRepresentation
bin1010001000111…
…00110101000001
312221001010102101
411010130311001
5133233141422
612234550401
72051636110
oct504346501
9187033371
1085052737
1144012420
1224598401
131480c183
14b41dc77
157700c27
hex511cd41

85052737 has 32 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 62361600.

The previous prime is 85052731. The next prime is 85052741. The reversal of 85052737 is 73725058.

It is a de Polignac number, because none of the positive numbers 2k-85052737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85052696 and 85052705.

It is not an unprimeable number, because it can be changed into a prime (85052731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91089 + ... + 92017.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 285052737 is an apocalyptic number.

It is an amenable number.

85052737 is a deficient number, since it is larger than the sum of its proper divisors (27440063).

85052737 is a wasteful number, since it uses less digits than its factorization.

85052737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017.

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 85052737 is about 9222.4040791976. The cubic root of 85052737 is about 439.7738800269.

The spelling of 85052737 in words is "eighty-five million, fifty-two thousand, seven hundred thirty-seven".

Divisors: 1 7 11 29 41 77 203 287 319 451 929 1189 2233 3157 6503 8323 10219 13079 26941 38089 71533 91553 188587 266623 296351 418979 1104581 2074457 2932853 7732067 12150391 85052737