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73085904 = 24322322067
BaseRepresentation
bin1000101101100…
…11001111010000
312002112011000100
410112303033100
5122202222104
611130252400
71545135303
oct426631720
9162464010
1073085904
1138289581
1220587100
13121ac2c8
1499c6b3a
15663a139
hex45b33d0

73085904 has 60 divisors (see below), whose sum is σ = 213441696. Its totient is φ = 23301696.

The previous prime is 73085867. The next prime is 73085953. The reversal of 73085904 is 40958037.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7722 + ... + 14345.

Almost surely, 273085904 is an apocalyptic number.

It is an amenable number.

73085904 is an abundant number, since it is smaller than the sum of its proper divisors (140355792).

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

73085904 is a wasteful number, since it uses less digits than its factorization.

73085904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22104 (or 22095 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73085904 is about 8549.0294185948. The cubic root of 73085904 is about 418.0977923404.

The spelling of 73085904 in words is "seventy-three million, eighty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 22067 44134 66201 88268 132402 176536 198603 264804 353072 397206 507541 529608 794412 1015082 1059216 1522623 1588824 2030164 3045246 3177648 4060328 4567869 6090492 8120656 9135738 12180984 18271476 24361968 36542952 73085904