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93919104 = 273281527
BaseRepresentation
bin1011001100100…
…01011110000000
320112201120210100
411212101132000
5143020402404
613153002400
72220204426
oct546213600
9215646710
1093919104
11490188a4
1227553400
13165c4a46
14c68b116
1583a2d39
hex5991780

93919104 has 48 divisors (see below), whose sum is σ = 270265320. Its totient is φ = 31305984.

The previous prime is 93919073. The next prime is 93919129. The reversal of 93919104 is 40191939.

It is a tau number, because it is divible by the number of its divisors (48).

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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39612 + ... + 41915.

Almost surely, 293919104 is an apocalyptic number.

It is an amenable number.

93919104 is an abundant number, since it is smaller than the sum of its proper divisors (176346216).

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

93919104 is a wasteful number, since it uses less digits than its factorization.

93919104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81547 (or 81532 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 93919104 is about 9691.1869242111. The cubic root of 93919104 is about 454.5531240209.

The spelling of 93919104 in words is "ninety-three million, nine hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 81527 163054 244581 326108 489162 652216 733743 978324 1304432 1467486 1956648 2608864 2934972 3913296 5217728 5869944 7826592 10435456 11739888 15653184 23479776 31306368 46959552 93919104