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92138904 = 2333111319157
BaseRepresentation
bin1010111110111…
…10110110011000
320102101010211000
411133132312120
5142041421104
613050505000
72166111354
oct537366630
9212333730
1092138904
1148012360
1226a35160
1316120680
14c346464
158150639
hex57ded98

92138904 has 256 divisors, whose sum is σ = 318528000. Its totient is φ = 24261120.

The previous prime is 92138873. The next prime is 92138911. The reversal of 92138904 is 40983129.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 586794 + ... + 586950.

It is an arithmetic number, because the mean of its divisors is an integer number (1244250).

Almost surely, 292138904 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 92138904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159264000).

92138904 is an abundant number, since it is smaller than the sum of its proper divisors (226389096).

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

92138904 is a wasteful number, since it uses less digits than its factorization.

92138904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 92138904 is about 9598.9011871151. The cubic root of 92138904 is about 451.6628257882.

The spelling of 92138904 in words is "ninety-two million, one hundred thirty-eight thousand, nine hundred four".