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48430624 = 2511137587
BaseRepresentation
bin1011100010111…
…1111000100000
310101010112022211
42320233320200
544344234444
64450011504
71125440104
oct270577040
9111115284
1048430624
1125379710
1214276b94
13a058c98
146609904
1543b9c34
hex2e2fe20

48430624 has 24 divisors (see below), whose sum is σ = 104016528. Its totient is φ = 22013760.

The previous prime is 48430621. The next prime is 48430651. The reversal of 48430624 is 42603484.

48430624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48430621) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 68442 + ... + 69145.

It is an arithmetic number, because the mean of its divisors is an integer number (4334022).

Almost surely, 248430624 is an apocalyptic number.

48430624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48430624 is an abundant number, since it is smaller than the sum of its proper divisors (55585904).

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

48430624 is a wasteful number, since it uses less digits than its factorization.

48430624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137608 (or 137600 counting only the distinct ones).

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

The square root of 48430624 is about 6959.2114495825. The cubic root of 48430624 is about 364.5076842909.

The spelling of 48430624 in words is "forty-eight million, four hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 137587 275174 550348 1100696 1513457 2201392 3026914 4402784 6053828 12107656 24215312 48430624