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48113640 = 23325133649
BaseRepresentation
bin1011011110001…
…0011111101000
310100112102111200
42313202133220
544304114030
64435124200
71122650001
oct267423750
9110472450
1048113640
1125182543
1214143660
139c77913
1465661a8
154355d60
hex2de27e8

48113640 has 48 divisors (see below), whose sum is σ = 156370500. Its totient is φ = 12830208.

The previous prime is 48113627. The next prime is 48113641. The reversal of 48113640 is 4631184.

48113640 is a `hidden beast` number, since 4 + 8 + 1 + 13 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38713284 + 9400356 = 6222^2 + 3066^2 .

It is not an unprimeable number, because it can be changed into a prime (48113641) 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, 66465 + ... + 67184.

Almost surely, 248113640 is an apocalyptic number.

48113640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48113640 is an abundant number, since it is smaller than the sum of its proper divisors (108256860).

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

48113640 is a wasteful number, since it uses less digits than its factorization.

48113640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133666 (or 133659 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48113640 is about 6936.3996424658. The cubic root of 48113640 is about 363.7106947292.

The spelling of 48113640 in words is "forty-eight million, one hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 133649 267298 400947 534596 668245 801894 1069192 1202841 1336490 1603788 2004735 2405682 2672980 3207576 4009470 4811364 5345960 6014205 8018940 9622728 12028410 16037880 24056820 48113640