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48436680 = 23351672417
BaseRepresentation
bin1011100011000…
…1010111001000
310101010211122010
42320301113020
544344433210
64450055520
71125463545
oct270612710
9111124563
1048436680
1125383216
121427a5a0
13a05b976
14660bbcc
1543bb920
hex2e315c8

48436680 has 64 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 12833792.

The previous prime is 48436669. The next prime is 48436691. The reversal of 48436680 is 8663484.

It is an interprime number because it is at equal distance from previous prime (48436669) and next prime (48436691).

It is a super-2 number, since 2×484366802 = 4692223938844800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18832 + ... + 21248.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 248436680 is an apocalyptic number.

48436680 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 48436680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

48436680 is an abundant number, since it is smaller than the sum of its proper divisors (97803960).

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

48436680 is a wasteful number, since it uses less digits than its factorization.

48436680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 48436680 is about 6959.6465427491. The cubic root of 48436680 is about 364.5228769269.

The spelling of 48436680 in words is "forty-eight million, four hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2417 2505 3340 4008 4834 5010 6680 7251 9668 10020 12085 14502 19336 20040 24170 29004 36255 48340 58008 72510 96680 145020 290040 403639 807278 1210917 1614556 2018195 2421834 3229112 4036390 4843668 6054585 8072780 9687336 12109170 16145560 24218340 48436680