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48240576 = 263327917
BaseRepresentation
bin1011100000000…
…1011111000000
310100202212122000
42320001133000
544322144301
64441544000
71124016036
oct270013700
9110685560
1048240576
112525994a
12141a5000
139cc0627
14659a556
15437d786
hex2e017c0

48240576 has 56 divisors (see below), whose sum is σ = 141823440. Its totient is φ = 16079616.

The previous prime is 48240571. The next prime is 48240587. The reversal of 48240576 is 67504284.

48240576 is a `hidden beast` number, since 4 + 82 + 4 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48240576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48240571) 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, 12231 + ... + 15686.

Almost surely, 248240576 is an apocalyptic number.

It is an amenable number.

48240576 is an abundant number, since it is smaller than the sum of its proper divisors (93582864).

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

48240576 is a wasteful number, since it uses less digits than its factorization.

48240576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27938 (or 27922 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48240576 is about 6945.5436072348. The cubic root of 48240576 is about 364.0302675793.

The spelling of 48240576 in words is "forty-eight million, two hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 27917 55834 83751 111668 167502 223336 251253 335004 446672 502506 670008 753759 893344 1005012 1340016 1507518 1786688 2010024 2680032 3015036 4020048 5360064 6030072 8040096 12060144 16080192 24120288 48240576