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48813696 = 273242373
BaseRepresentation
bin1011101000110…
…1011010000000
310101211222210200
42322031122000
544444014241
64502125200
71131623661
oct272153200
9111758720
1048813696
11256104a8
1214420800
13a161459
1466a9368
1544434b6
hex2e8d680

48813696 has 48 divisors (see below), whose sum is σ = 140469810. Its totient is φ = 16270848.

The previous prime is 48813691. The next prime is 48813719. The reversal of 48813696 is 69631884.

It can be written as a sum of positive squares in only one way, i.e., 48108096 + 705600 = 6936^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48813691) 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 5 ways as a sum of consecutive naturals, for example, 20035 + ... + 22338.

Almost surely, 248813696 is an apocalyptic number.

It is an amenable number.

48813696 is an abundant number, since it is smaller than the sum of its proper divisors (91656114).

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

48813696 is a wasteful number, since it uses less digits than its factorization.

48813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42393 (or 42378 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 48813696 is about 6986.6798982063. The cubic root of 48813696 is about 365.4662110400.

The spelling of 48813696 in words is "forty-eight million, eight hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 42373 84746 127119 169492 254238 338984 381357 508476 677968 762714 1016952 1355936 1525428 2033904 2711872 3050856 4067808 5423744 6101712 8135616 12203424 16271232 24406848 48813696