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88675104 = 253732693
BaseRepresentation
bin1010100100100…
…01001100100000
320011212011101010
411102101030200
5140200100404
612444340520
72124504000
oct522211440
9204764333
1088675104
1146066a11
1225844740
13154a9b9b
14bac4000
157bb9189
hex5491320

88675104 has 96 divisors (see below), whose sum is σ = 271555200. Its totient is φ = 25326336.

The previous prime is 88675099. The next prime is 88675121. The reversal of 88675104 is 40157688.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31582 + ... + 34274.

It is an arithmetic number, because the mean of its divisors is an integer number (2828700).

Almost surely, 288675104 is an apocalyptic number.

88675104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88675104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135777600).

88675104 is an abundant number, since it is smaller than the sum of its proper divisors (182880096).

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

88675104 is a wasteful number, since it uses less digits than its factorization.

88675104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 88675104 is about 9416.7459347696. The cubic root of 88675104 is about 445.9305595470.

The spelling of 88675104 in words is "eighty-eight million, six hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2693 2744 4116 4704 5386 5488 8079 8232 10772 10976 16158 16464 18851 21544 32316 32928 37702 43088 56553 64632 75404 86176 113106 129264 131957 150808 226212 258528 263914 301616 395871 452424 527828 603232 791742 904848 923699 1055656 1583484 1809696 1847398 2111312 2771097 3166968 3694796 4222624 5542194 6333936 7389592 11084388 12667872 14779184 22168776 29558368 44337552 88675104