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48765696 = 283747193
BaseRepresentation
bin1011101000000…
…1101100000000
310101202112221220
42322001230000
544441000241
64501115040
71131334020
oct272015400
9111675856
1048765696
1125588431
12143b8a80
13a145655
146695a80
154434166
hex2e81b00

48765696 has 144 divisors (see below), whose sum is σ = 152269824. Its totient is φ = 13565952.

The previous prime is 48765653. The next prime is 48765719. The reversal of 48765696 is 69656784.

Its product of digits (2177280) is a multiple of the sum of its prime divisors (252).

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, 252576 + ... + 252768.

Almost surely, 248765696 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 48765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76134912).

48765696 is an abundant number, since it is smaller than the sum of its proper divisors (103504128).

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

48765696 is a wasteful number, since it uses less digits than its factorization.

48765696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 48765696 is about 6983.2439453309. The cubic root of 48765696 is about 365.3463803866.

The spelling of 48765696 in words is "forty-eight million, seven hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 193 224 256 282 329 336 376 384 386 448 564 579 658 672 752 768 772 896 987 1128 1158 1316 1344 1351 1504 1544 1792 1974 2256 2316 2632 2688 2702 3008 3088 3948 4053 4512 4632 5264 5376 5404 6016 6176 7896 8106 9024 9071 9264 10528 10808 12032 12352 15792 16212 18048 18142 18528 21056 21616 24704 27213 31584 32424 36096 36284 37056 42112 43232 49408 54426 63168 63497 64848 72568 74112 84224 86464 108852 126336 126994 129696 145136 148224 172928 190491 217704 252672 253988 259392 290272 345856 380982 435408 507976 518784 580544 761964 870816 1015952 1037568 1161088 1523928 1741632 2031904 2322176 3047856 3483264 4063808 6095712 6966528 8127616 12191424 16255232 24382848 48765696