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94135392 = 25331317229
BaseRepresentation
bin1011001110001…
…10010001100000
320120010120111000
411213012101200
5143044313032
613201352000
72222065131
oct547062140
9216116430
1094135392
114915634a
1227638600
131666c320
14c705c88
1583e6e7c
hex59c6460

94135392 has 288 divisors, whose sum is σ = 324928800. Its totient is φ = 26320896.

The previous prime is 94135361. The next prime is 94135399. The reversal of 94135392 is 29353149.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×941353922 = 17722944053987328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94135399) 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 47 ways as a sum of consecutive naturals, for example, 3246034 + ... + 3246062.

It is an arithmetic number, because the mean of its divisors is an integer number (1128225).

Almost surely, 294135392 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 94135392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162464400).

94135392 is an abundant number, since it is smaller than the sum of its proper divisors (230793408).

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

94135392 is a wasteful number, since it uses less digits than its factorization.

94135392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 94135392 is about 9702.3395116848. The cubic root of 94135392 is about 454.9017893734.

The spelling of 94135392 in words is "ninety-four million, one hundred thirty-five thousand, three hundred ninety-two".