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87334905 = 3572313833
BaseRepresentation
bin1010011010010…
…01111111111001
320002100001222010
411031021333321
5134324204110
612355520133
72110222500
oct515117771
9202301863
1087334905
1145331009
12252b9049
131512ab78
14b855837
157a02020
hex5349ff9

87334905 has 48 divisors (see below), whose sum is σ = 167837184. Its totient is φ = 38626560.

The previous prime is 87334903. The next prime is 87334909. The reversal of 87334905 is 50943378.

It is not a de Polignac number, because 87334905 - 21 = 87334903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87334903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20869 + ... + 24701.

It is an arithmetic number, because the mean of its divisors is an integer number (3496608).

Almost surely, 287334905 is an apocalyptic number.

It is an amenable number.

87334905 is a deficient number, since it is larger than the sum of its proper divisors (80502279).

87334905 is a wasteful number, since it uses less digits than its factorization.

87334905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 87334905 is about 9345.3146014460. The cubic root of 87334905 is about 443.6726088669.

It can be divided in two parts, 873 and 34905, that added together give a triangular number (35778 = T267).

The spelling of 87334905 in words is "eighty-seven million, three hundred thirty-four thousand, nine hundred five".

Divisors: 1 3 5 7 15 21 31 35 49 93 105 147 155 217 245 465 651 735 1085 1519 3255 3833 4557 7595 11499 19165 22785 26831 57495 80493 118823 134155 187817 356469 402465 563451 594115 831761 939085 1782345 2495283 2817255 4158805 5822327 12476415 17466981 29111635 87334905