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48855456 = 25321313049
BaseRepresentation
bin1011101001011…
…1100110100000
310101221010002100
42322113212200
5100001333311
64503050400
71132156506
oct272274640
9111833070
1048855456
1125639911
1214440a00
13a177470
1466ba676
154450a56
hex2e979a0

48855456 has 72 divisors (see below), whose sum is σ = 149631300. Its totient is φ = 15031296.

The previous prime is 48855431. The next prime is 48855493. The reversal of 48855456 is 65455884.

48855456 is a `hidden beast` number, since 48 + 8 + 554 + 56 = 666.

48855456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47610000 + 1245456 = 6900^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2781 + ... + 10268.

Almost surely, 248855456 is an apocalyptic number.

It is an amenable number.

48855456 is an abundant number, since it is smaller than the sum of its proper divisors (100775844).

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

48855456 is a wasteful number, since it uses less digits than its factorization.

48855456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13078 (or 13067 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 48855456 is about 6989.6678032650. The cubic root of 48855456 is about 365.5703998240.

The spelling of 48855456 in words is "forty-eight million, eight hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 13049 26098 39147 52196 78294 104392 117441 156588 169637 208784 234882 313176 339274 417568 469764 508911 626352 678548 939528 1017822 1252704 1357096 1526733 1879056 2035644 2714192 3053466 3758112 4071288 5428384 6106932 8142576 12213864 16285152 24427728 48855456