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48953472 = 273177499
BaseRepresentation
bin1011101010111…
…1100010000000
310102010002112120
42322233202000
5100013002342
64505124240
71133045331
oct272574200
9112102476
1048953472
11256a6517
1214489680
13a1acc69
146704288
15446eaec
hex2eaf880

48953472 has 64 divisors (see below), whose sum is σ = 137700000. Its totient is φ = 15355904.

The previous prime is 48953449. The next prime is 48953473. The reversal of 48953472 is 27435984.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) 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 (48953473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2779 + ... + 10277.

Almost surely, 248953472 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 48953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68850000).

48953472 is an abundant number, since it is smaller than the sum of its proper divisors (88746528).

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

48953472 is a wasteful number, since it uses less digits than its factorization.

48953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7533 (or 7521 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 48953472 is about 6996.6757821125. The cubic root of 48953472 is about 365.8147110739.

The spelling of 48953472 in words is "forty-eight million, nine hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 7499 14998 22497 29996 44994 59992 89988 119984 127483 179976 239968 254966 359952 382449 479936 509932 719904 764898 959872 1019864 1439808 1529796 2039728 2879616 3059592 4079456 6119184 8158912 12238368 16317824 24476736 48953472