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48438792 = 23321016661
BaseRepresentation
bin1011100011000…
…1111000001000
310101010221112100
42320301320020
544400020132
64450113400
71125502653
oct270617010
9111127470
1048438792
1125384866
121427b860
13a05c90c
14660c89a
1543bc37c
hex2e31e08

48438792 has 48 divisors (see below), whose sum is σ = 132507180. Its totient is φ = 15984000.

The previous prime is 48438773. The next prime is 48438799. The reversal of 48438792 is 29783484.

48438792 is a `hidden beast` number, since 484 + 3 + 87 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34644996 + 13793796 = 5886^2 + 3714^2 .

It is not an unprimeable number, because it can be changed into a prime (48438799) 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 11 ways as a sum of consecutive naturals, for example, 3942 + ... + 10602.

Almost surely, 248438792 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 48438792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66253590).

48438792 is an abundant number, since it is smaller than the sum of its proper divisors (84068388).

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

48438792 is a wasteful number, since it uses less digits than its factorization.

48438792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774 (or 6767 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 48438792 is about 6959.7982729387. The cubic root of 48438792 is about 364.5281749857.

The spelling of 48438792 in words is "forty-eight million, four hundred thirty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 6661 7272 13322 19983 26644 39966 53288 59949 79932 119898 159864 239796 479592 672761 1345522 2018283 2691044 4036566 5382088 6054849 8073132 12109698 16146264 24219396 48438792