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48065864 = 23721171157
BaseRepresentation
bin1011011101011…
…0110101001000
310100102222222012
42313112311020
544301101424
64434115052
71122360500
oct267266510
9110388865
1048065864
112514a660
121411ba88
139c5bc52
146552a00
154346b0e
hex2dd6d48

48065864 has 96 divisors (see below), whose sum is σ = 116717760. Its totient is φ = 18345600.

The previous prime is 48065821. The next prime is 48065887. The reversal of 48065864 is 46856084.

It is a super-3 number, since 3×480658643 (a number of 24 digits) contains 333 as substring.

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, 306074 + ... + 306230.

It is an arithmetic number, because the mean of its divisors is an integer number (1215810).

Almost surely, 248065864 is an apocalyptic number.

48065864 is a gapful number since it is divisible by the number (44) 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 48065864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58358880).

48065864 is an abundant number, since it is smaller than the sum of its proper divisors (68651896).

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

48065864 is a wasteful number, since it uses less digits than its factorization.

48065864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 48065864 is about 6932.9549255711. The cubic root of 48065864 is about 363.5902687481.

The spelling of 48065864 in words is "forty-eight million, sixty-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 71 77 88 98 142 154 157 196 284 308 314 392 497 539 568 616 628 781 994 1078 1099 1256 1562 1727 1988 2156 2198 3124 3454 3479 3976 4312 4396 5467 6248 6908 6958 7693 8792 10934 11147 12089 13816 13916 15386 21868 22294 24178 27832 30772 38269 43736 44588 48356 61544 76538 78029 84623 89176 96712 122617 153076 156058 169246 245234 306152 312116 338492 490468 546203 624232 676984 858319 980936 1092406 1716638 2184812 3433276 4369624 6008233 6866552 12016466 24032932 48065864