Search a number
-
+
48034624 = 261131271
BaseRepresentation
bin1011011100111…
…1001101000000
310100101102010011
42313033031000
544244101444
64433314304
71122200431
oct267171500
9110342104
1048034624
1125129140
1214105994
139c4a971
146545488
15433c734
hex2dcf340

48034624 has 84 divisors (see below), whose sum is σ = 108959904. Its totient is φ = 20832000.

The previous prime is 48034619. The next prime is 48034631. The reversal of 48034624 is 42643084.

48034624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 11 ways as a sum of consecutive naturals, for example, 676509 + ... + 676579.

Almost surely, 248034624 is an apocalyptic number.

48034624 is a gapful number since it is divisible by the number (44) 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 48034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54479952).

48034624 is an abundant number, since it is smaller than the sum of its proper divisors (60925280).

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

48034624 is a wasteful number, since it uses less digits than its factorization.

48034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 48034624 is about 6930.7015517911. The cubic root of 48034624 is about 363.5114808743.

The spelling of 48034624 in words is "forty-eight million, thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 71 88 124 142 176 248 284 341 352 496 568 682 704 781 961 992 1136 1364 1562 1922 1984 2201 2272 2728 3124 3844 4402 4544 5456 6248 7688 8804 10571 10912 12496 15376 17608 21142 21824 24211 24992 30752 35216 42284 48422 49984 61504 68231 70432 84568 96844 136462 140864 169136 193688 272924 338272 387376 545848 676544 750541 774752 1091696 1501082 1549504 2183392 3002164 4366784 6004328 12008656 24017312 48034624