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48107136 = 2737111627
BaseRepresentation
bin1011011110000…
…0111010000000
310100112002120210
42313200322000
544303412021
64435034120
71122622020
oct267407200
9110462523
1048107136
1125178670
121413b940
139c7497c
146563a80
154353e76
hex2de0e80

48107136 has 128 divisors (see below), whose sum is σ = 159413760. Its totient is φ = 12487680.

The previous prime is 48107131. The next prime is 48107149. The reversal of 48107136 is 63170184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (48107131) 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 15 ways as a sum of consecutive naturals, for example, 28755 + ... + 30381.

It is an arithmetic number, because the mean of its divisors is an integer number (1245420).

Almost surely, 248107136 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 48107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79706880).

48107136 is an abundant number, since it is smaller than the sum of its proper divisors (111306624).

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

48107136 is a wasteful number, since it uses less digits than its factorization.

48107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 48107136 is about 6935.9307955025. The cubic root of 48107136 is about 363.6943051914.

The spelling of 48107136 in words is "forty-eight million, one hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1627 1848 2112 2464 2688 3254 3696 4224 4881 4928 6508 7392 9762 9856 11389 13016 14784 17897 19524 22778 26032 29568 34167 35794 39048 45556 52064 53691 68334 71588 78096 91112 104128 107382 125279 136668 143176 156192 182224 208256 214764 250558 273336 286352 312384 364448 375837 429528 501116 546672 572704 624768 728896 751674 859056 1002232 1093344 1145408 1457792 1503348 1718112 2004464 2186688 2290816 3006696 3436224 4008928 4373376 6013392 6872448 8017856 12026784 16035712 24053568 48107136