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48461376 = 263833041
BaseRepresentation
bin1011100011011…
…1011001000000
310101012002111210
42320313121000
544401231001
64450410120
71125625545
oct270673100
9111162453
1048461376
112539a827
1214290940
13a069c92
146616bcc
1543c3dd6
hex2e37640

48461376 has 56 divisors (see below), whose sum is σ = 129808224. Its totient is φ = 15953920.

The previous prime is 48461363. The next prime is 48461417. The reversal of 48461376 is 67316484.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14416 + ... + 17456.

It is an arithmetic number, because the mean of its divisors is an integer number (2318004).

Almost surely, 248461376 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 48461376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64904112).

48461376 is an abundant number, since it is smaller than the sum of its proper divisors (81346848).

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

48461376 is a wasteful number, since it uses less digits than its factorization.

48461376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3129 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 48461376 is about 6961.4205446877. The cubic root of 48461376 is about 364.5848184654.

The spelling of 48461376 in words is "forty-eight million, four hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 3041 3984 5312 6082 7968 9123 12164 15936 18246 24328 36492 48656 72984 97312 145968 194624 252403 291936 504806 583872 757209 1009612 1514418 2019224 3028836 4038448 6057672 8076896 12115344 16153792 24230688 48461376