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48240864 = 2532723929
BaseRepresentation
bin1011100000000…
…1100011100000
310100202220000200
42320001203200
544322201424
64441545200
71124016630
oct270014340
9110686020
1048240864
112525a091
12141a5200
139cc07b9
14659a6c0
15437d8c9
hex2e018e0

48240864 has 72 divisors (see below), whose sum is σ = 156789360. Its totient is φ = 13782528.

The previous prime is 48240853. The next prime is 48240901. The reversal of 48240864 is 46804284.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9949 + ... + 13980.

It is an arithmetic number, because the mean of its divisors is an integer number (2177630).

Almost surely, 248240864 is an apocalyptic number.

It is an amenable number.

48240864 is an abundant number, since it is smaller than the sum of its proper divisors (108548496).

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

48240864 is a wasteful number, since it uses less digits than its factorization.

48240864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23952 (or 23941 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48240864 is about 6945.5643399223. The cubic root of 48240864 is about 364.0309920076.

The spelling of 48240864 in words is "forty-eight million, two hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 23929 47858 71787 95716 143574 167503 191432 215361 287148 335006 382864 430722 502509 574296 670012 765728 861444 1005018 1148592 1340024 1507527 1722888 2010036 2297184 2680048 3015054 3445776 4020072 5360096 6030108 6891552 8040144 12060216 16080288 24120432 48240864