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48120576 = 28378951
BaseRepresentation
bin1011011110010…
…0001100000000
310100112210000120
42313210030000
544304324301
64435220240
71123006140
oct267441400
9110483016
1048120576
1125187779
1214147680
139c7ab1a
146568920
154357e36
hex2de4300

48120576 has 72 divisors (see below), whose sum is σ = 146383104. Its totient is φ = 13747200.

The previous prime is 48120571. The next prime is 48120601. The reversal of 48120576 is 67502184.

It is not an unprimeable number, because it can be changed into a prime (48120571) 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, 901 + ... + 9851.

Almost surely, 248120576 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 48120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73191552).

48120576 is an abundant number, since it is smaller than the sum of its proper divisors (98262528).

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

48120576 is an equidigital number, since it uses as much as digits as its factorization.

48120576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8977 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 48120576 is about 6936.8995956407. The cubic root of 48120576 is about 363.7281712435.

The spelling of 48120576 in words is "forty-eight million, one hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 8951 17902 26853 35804 53706 62657 71608 107412 125314 143216 187971 214824 250628 286432 375942 429648 501256 572864 751884 859296 1002512 1145728 1503768 1718592 2005024 2291456 3007536 3437184 4010048 6015072 6874368 8020096 12030144 16040192 24060288 48120576