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48160656 = 24364129
BaseRepresentation
bin1011011110110…
…1111110010000
310100121211000000
42313231332100
544312120111
64440130000
71123234035
oct267557620
9110554000
1048160656
11252048a5
1214166900
139c9313b
14657938c
154364c56
hex2dedf90

48160656 has 70 divisors (see below), whose sum is σ = 139936790. Its totient is φ = 16049664.

The previous prime is 48160633. The next prime is 48160663. The reversal of 48160656 is 65606184.

48160656 is a `hidden beast` number, since 48 + 1 + 606 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 6170256 = 6480^2 + 2484^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 48160656.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9600 + ... + 13728.

It is an arithmetic number, because the mean of its divisors is an integer number (1999097).

Almost surely, 248160656 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 48160656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69968395).

48160656 is an abundant number, since it is smaller than the sum of its proper divisors (91776134).

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

48160656 is an equidigital number, since it uses as much as digits as its factorization.

48160656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48160656 is about 6939.7878930123. The cubic root of 48160656 is about 363.8291272222.

The spelling of 48160656 in words is "forty-eight million, one hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 4129 5832 8258 11664 12387 16516 24774 33032 37161 49548 66064 74322 99096 111483 148644 198192 222966 297288 334449 445932 594576 668898 891864 1003347 1337796 1783728 2006694 2675592 3010041 4013388 5351184 6020082 8026776 12040164 16053552 24080328 48160656