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48406656 = 273373407
BaseRepresentation
bin1011100010101…
…0000010000000
310101002022110010
42320222002000
544343003111
64445304520
71125310164
oct270520200
9111068403
1048406656
1125362701
1214265140
13a04b0bc
146600ca4
1543b2aa6
hex2e2a080

48406656 has 64 divisors (see below), whose sum is σ = 132094080. Its totient is φ = 15694848.

The previous prime is 48406637. The next prime is 48406669. The reversal of 48406656 is 65660484.

It is a tau number, because it is divible by the number of its divisors (64).

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, 12505 + ... + 15911.

It is an arithmetic number, because the mean of its divisors is an integer number (2063970).

Almost surely, 248406656 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 48406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66047040).

48406656 is an abundant number, since it is smaller than the sum of its proper divisors (83687424).

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

48406656 is a wasteful number, since it uses less digits than its factorization.

48406656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 48406656 is about 6957.4892022913. The cubic root of 48406656 is about 364.4475435434.

The spelling of 48406656 in words is "forty-eight million, four hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3407 3552 4736 6814 7104 10221 13628 14208 20442 27256 40884 54512 81768 109024 126059 163536 218048 252118 327072 378177 436096 504236 654144 756354 1008472 1308288 1512708 2016944 3025416 4033888 6050832 8067776 12101664 16135552 24203328 48406656