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92538496 = 271037019
BaseRepresentation
bin1011000010000…
…00011010000000
320110010102221201
411201000122000
5142142212441
613103230544
72202364351
oct541003200
9213112851
1092538496
11482655a6
1226ba8454
131623050b
14c40bd28
1581cdc31
hex5840680

92538496 has 32 divisors (see below), whose sum is σ = 186170400. Its totient is φ = 45813504.

The previous prime is 92538461. The next prime is 92538521. The reversal of 92538496 is 69483529.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 9675 + ... + 16693.

It is an arithmetic number, because the mean of its divisors is an integer number (5817825).

Almost surely, 292538496 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 92538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93085200).

92538496 is an abundant number, since it is smaller than the sum of its proper divisors (93631904).

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

92538496 is a wasteful number, since it uses less digits than its factorization.

92538496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7136 (or 7124 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 92538496 is about 9619.6931343988. The cubic root of 92538496 is about 452.3148144891.

It can be divided in two parts, 925384 and 96, that added together give a triangular number (925480 = T1360).

The spelling of 92538496 in words is "ninety-two million, five hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 1648 3296 6592 7019 13184 14038 28076 56152 112304 224608 449216 722957 898432 1445914 2891828 5783656 11567312 23134624 46269248 92538496