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48675744 = 25321313001
BaseRepresentation
bin1011100110101…
…1101110100000
310101120222120100
42321223232200
544430110434
64455142400
71130510535
oct271535640
9111528510
1048675744
1125526897
1214374a00
13a113720
146670d8c
154417699
hex2e6bba0

48675744 has 72 divisors (see below), whose sum is σ = 149080932. Its totient is φ = 14976000.

The previous prime is 48675707. The next prime is 48675749. The reversal of 48675744 is 44757684.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 12531600 = 6012^2 + 3540^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 48675744.

It is not an unprimeable number, because it can be changed into a prime (48675749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2757 + ... + 10244.

Almost surely, 248675744 is an apocalyptic number.

It is an amenable number.

48675744 is an abundant number, since it is smaller than the sum of its proper divisors (100405188).

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

48675744 is a wasteful number, since it uses less digits than its factorization.

48675744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13030 (or 13019 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 48675744 is about 6976.8004127967. The cubic root of 48675744 is about 365.1216058181.

The spelling of 48675744 in words is "forty-eight million, six hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 13001 26002 39003 52004 78006 104008 117009 156012 169013 208016 234018 312024 338026 416032 468036 507039 624048 676052 936072 1014078 1248096 1352104 1521117 1872144 2028156 2704208 3042234 3744288 4056312 5408416 6084468 8112624 12168936 16225248 24337872 48675744