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48113680 = 2451314591
BaseRepresentation
bin1011011110001…
…0100000010000
310100112102120011
42313202200100
544304114210
64435124304
71122650056
oct267424020
9110472504
1048113680
112518257a
1214143694
139c77944
1465661d6
154355d8a
hex2de2810

48113680 has 40 divisors (see below), whose sum is σ = 112742784. Its totient is φ = 19094400.

The previous prime is 48113651. The next prime is 48113683. The reversal of 48113680 is 8631184.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (48113683) 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, 8185 + ... + 12775.

Almost surely, 248113680 is an apocalyptic number.

48113680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48113680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56371392).

48113680 is an abundant number, since it is smaller than the sum of its proper divisors (64629104).

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

48113680 is a wasteful number, since it uses less digits than its factorization.

48113680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 48113680 is about 6936.4025258054. The cubic root of 48113680 is about 363.7107955212.

It can be divided in two parts, 481 and 13680, that added together give a square (14161 = 1192).

The spelling of 48113680 in words is "forty-eight million, one hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 4591 5240 9182 10480 18364 22955 36728 45910 73456 91820 183640 367280 601421 1202842 2405684 3007105 4811368 6014210 9622736 12028420 24056840 48113680