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48856752 = 24327192551
BaseRepresentation
bin1011101001011…
…1111010110000
310101221011212100
42322113322300
5100001404002
64503100400
71132163340
oct272277260
9111834770
1048856752
112563a88a
1214441700
13a177c29
1466bad20
15445111c
hex2e97eb0

48856752 has 120 divisors (see below), whose sum is σ = 164552960. Its totient is φ = 13219200.

The previous prime is 48856747. The next prime is 48856777. The reversal of 48856752 is 25765884.

48856752 is a `hidden beast` number, since 4 + 88 + 567 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48856698 and 48856707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17877 + ... + 20427.

Almost surely, 248856752 is an apocalyptic number.

48856752 is a gapful number since it is divisible by the number (42) 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 48856752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82276480).

48856752 is an abundant number, since it is smaller than the sum of its proper divisors (115696208).

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

48856752 is a wasteful number, since it uses less digits than its factorization.

48856752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2582 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 48856752 is about 6989.7605109188. The cubic root of 48856752 is about 365.5736323189.

The spelling of 48856752 in words is "forty-eight million, eight hundred fifty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2551 2736 3192 4788 5102 6384 7653 9576 10204 15306 17857 19152 20408 22959 30612 35714 40816 45918 48469 53571 61224 71428 91836 96938 107142 122448 142856 145407 160713 183672 193876 214284 285712 290814 321426 339283 367344 387752 428568 436221 581628 642852 678566 775504 857136 872442 1017849 1163256 1285704 1357132 1744884 2035698 2326512 2571408 2714264 3053547 3489768 4071396 5428528 6107094 6979536 8142792 12214188 16285584 24428376 48856752