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49585872 = 2437178681
BaseRepresentation
bin1011110100100…
…1111011010000
310110022020000210
42331021323100
5100143221442
64530444120
71141321140
oct275117320
9113266023
1049585872
1125a98666
1214733640
13a371a6b
14682a920
15454719c
hex2f49ed0

49585872 has 80 divisors (see below), whose sum is σ = 155025792. Its totient is φ = 13332480.

The previous prime is 49585847. The next prime is 49585891. The reversal of 49585872 is 27858594.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1372 + ... + 10052.

Almost surely, 249585872 is an apocalyptic number.

49585872 is a gapful number since it is divisible by the number (42) 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 49585872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77512896).

49585872 is an abundant number, since it is smaller than the sum of its proper divisors (105439920).

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

49585872 is a wasteful number, since it uses less digits than its factorization.

49585872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 8710 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 49585872 is about 7041.7236526294. The cubic root of 49585872 is about 367.3832217233.

The spelling of 49585872 in words is "forty-nine million, five hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 8681 17362 26043 34724 52086 60767 69448 104172 121534 138896 147577 182301 208344 243068 295154 364602 416688 442731 486136 590308 729204 885462 972272 1033039 1180616 1458408 1770924 2066078 2361232 2916816 3099117 3541848 4132156 6198234 7083696 8264312 12396468 16528624 24792936 49585872