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48396656 = 24711163241
BaseRepresentation
bin1011100010011…
…1100101110000
310101001210201202
42320213211300
544342143111
64445150332
71125236060
oct270474560
9111053652
1048396656
1125356140
121425b3a8
13a046699
1465db3a0
1543aeb3b
hex2e27970

48396656 has 80 divisors (see below), whose sum is σ = 118111488. Its totient is φ = 18662400.

The previous prime is 48396641. The next prime is 48396659. The reversal of 48396656 is 65669384.

48396656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48396656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48396659) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 200696 + ... + 200936.

Almost surely, 248396656 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 48396656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59055744).

48396656 is an abundant number, since it is smaller than the sum of its proper divisors (69714832).

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

48396656 is a wasteful number, since it uses less digits than its factorization.

48396656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The square root of 48396656 is about 6956.7705151169. The cubic root of 48396656 is about 364.4224455732.

The spelling of 48396656 in words is "forty-eight million, three hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 163 176 241 308 326 482 616 652 964 1141 1232 1304 1687 1793 1928 2282 2608 2651 3374 3586 3856 4564 5302 6748 7172 9128 10604 12551 13496 14344 18256 18557 21208 25102 26992 28688 37114 39283 42416 50204 74228 78566 100408 148456 157132 200816 274981 296912 314264 432113 549962 628528 864226 1099924 1728452 2199848 3024791 3456904 4399696 6049582 6913808 12099164 24198328 48396656