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48958752 = 2532112417
BaseRepresentation
bin1011101011000…
…0110100100000
310102010100210010
42322300310200
5100013140002
64505204520
71133066613
oct272606440
9112110703
1048958752
11256aa487
1214490740
13a1b249b
14670617a
15447146c
hex2eb0d20

48958752 has 48 divisors (see below), whose sum is σ = 129179232. Its totient is φ = 16235520.

The previous prime is 48958751. The next prime is 48958753. The reversal of 48958752 is 25785984.

It is an interprime number because it is at equal distance from previous prime (48958751) and next prime (48958753).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (48958751) 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 7 ways as a sum of consecutive naturals, for example, 19048 + ... + 21464.

It is an arithmetic number, because the mean of its divisors is an integer number (2691234).

Almost surely, 248958752 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 48958752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64589616).

48958752 is an abundant number, since it is smaller than the sum of its proper divisors (80220480).

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

48958752 is a wasteful number, since it uses less digits than its factorization.

48958752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2633 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 48958752 is about 6997.0530939818. The cubic root of 48958752 is about 365.8278625567.

The spelling of 48958752 in words is "forty-eight million, nine hundred fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2417 2532 3376 4834 5064 6752 7251 9668 10128 14502 19336 20256 29004 38672 58008 77344 116016 232032 509987 1019974 1529961 2039948 3059922 4079896 6119844 8159792 12239688 16319584 24479376 48958752