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48896832 = 263376883
BaseRepresentation
bin1011101010000…
…1101101000000
310102000012211210
42322201231000
5100004144312
64504010120
71132421235
oct272415500
9112005753
1048896832
1125667a06
1214460940
13a19024a
1466cb78c
15445ce3c
hex2ea1b40

48896832 has 56 divisors (see below), whose sum is σ = 132888736. Its totient is φ = 15856128.

The previous prime is 48896819. The next prime is 48896833. The reversal of 48896832 is 23869884.

It is a happy number.

It is a super-3 number, since 3×488968323 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48896833) 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 7 ways as a sum of consecutive naturals, for example, 3663 + ... + 10545.

Almost surely, 248896832 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 48896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66444368).

48896832 is an abundant number, since it is smaller than the sum of its proper divisors (83991904).

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

48896832 is a wasteful number, since it uses less digits than its factorization.

48896832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6925 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 48896832 is about 6992.6269741779. The cubic root of 48896832 is about 365.6735720116.

The spelling of 48896832 in words is "forty-eight million, eight hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 6883 7104 13766 20649 27532 41298 55064 82596 110128 165192 220256 254671 330384 440512 509342 660768 764013 1018684 1321536 1528026 2037368 3056052 4074736 6112104 8149472 12224208 16298944 24448416 48896832