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48614688 = 253356267
BaseRepresentation
bin1011100101110…
…0110100100000
310101110212211000
42321130310200
544421132223
64453552000
71130134533
oct271346440
9111425730
1048614688
1125494a31
1214345600
13a0c19b5
146656a1a
154404543
hex2e5cd20

48614688 has 48 divisors (see below), whose sum is σ = 141795360. Its totient is φ = 16204608.

The previous prime is 48614681. The next prime is 48614689. The reversal of 48614688 is 88641684.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (48614681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27270 + ... + 28997.

It is an arithmetic number, because the mean of its divisors is an integer number (2954070).

Almost surely, 248614688 is an apocalyptic number.

48614688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48614688 is an abundant number, since it is smaller than the sum of its proper divisors (93180672).

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

48614688 is a wasteful number, since it uses less digits than its factorization.

48614688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56286 (or 56272 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 48614688 is about 6972.4233950614. The cubic root of 48614688 is about 364.9688795635.

The spelling of 48614688 in words is "forty-eight million, six hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 56267 112534 168801 225068 337602 450136 506403 675204 900272 1012806 1350408 1519209 1800544 2025612 2700816 3038418 4051224 5401632 6076836 8102448 12153672 16204896 24307344 48614688