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48455712 = 2533173299
BaseRepresentation
bin1011100011011…
…0000000100000
310101011210202000
42320312000200
544401040322
64450324000
71125603204
oct270660040
9111153660
1048455712
1125396548
1214289600
13a067526
146614b04
1543c23ac
hex2e36020

48455712 has 96 divisors (see below), whose sum is σ = 149688000. Its totient is φ = 15197184.

The previous prime is 48455663. The next prime is 48455717. The reversal of 48455712 is 21755484.

48455712 is a `hidden beast` number, since 4 + 84 + 5 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (48455717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13039 + ... + 16337.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 248455712 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 48455712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74844000).

48455712 is an abundant number, since it is smaller than the sum of its proper divisors (101232288).

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

48455712 is a wasteful number, since it uses less digits than its factorization.

48455712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3321 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 48455712 is about 6961.0137192797. The cubic root of 48455712 is about 364.5706141028.

The spelling of 48455712 in words is "forty-eight million, four hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3299 3672 4896 6598 7344 9897 13196 14688 19794 26392 29691 39588 52784 56083 59382 79176 89073 105568 112166 118764 158352 168249 178146 224332 237528 316704 336498 356292 448664 475056 504747 672996 712584 897328 950112 1009494 1345992 1425168 1514241 1794656 2018988 2691984 2850336 3028482 4037976 5383968 6056964 8075952 12113928 16151904 24227856 48455712