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48692288 = 2619231741
BaseRepresentation
bin1011100110111…
…1110001000000
310101121211021002
42321233301000
544431123123
64455351132
71130610011
oct271576100
9111554232
1048692288
1125538267
12143824a8
13a11b108
146677008
15441c528
hex2e6fc40

48692288 has 56 divisors (see below), whose sum is σ = 106192320. Its totient is φ = 22049280.

The previous prime is 48692263. The next prime is 48692309. The reversal of 48692288 is 88229684.

48692288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 27098 + ... + 28838.

Almost surely, 248692288 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 48692288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53096160).

48692288 is an abundant number, since it is smaller than the sum of its proper divisors (57500032).

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

48692288 is a wasteful number, since it uses less digits than its factorization.

48692288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1785 counting only the distinct ones).

The product of its digits is 442368, while the sum is 47.

The square root of 48692288 is about 6977.9859558471. The cubic root of 48692288 is about 365.1629671967.

The spelling of 48692288 in words is "forty-eight million, six hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 437 608 736 874 1216 1472 1741 1748 3482 3496 6964 6992 13928 13984 27856 27968 33079 40043 55712 66158 80086 111424 132316 160172 264632 320344 529264 640688 760817 1058528 1281376 1521634 2117056 2562752 3043268 6086536 12173072 24346144 48692288