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48928656 = 2437271293
BaseRepresentation
bin1011101010100…
…1011110010000
310102001211111110
42322221132100
5100011204111
64504413320
71132613100
oct272513620
9112054443
1048928656
1125689907
1214477240
13a1a188a
1466d9200
1544675a6
hex2ea9790

48928656 has 120 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 13735680.

The previous prime is 48928651. The next prime is 48928657. The reversal of 48928656 is 65682984.

It is a happy number.

48928656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (48928651) 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 23 ways as a sum of consecutive naturals, for example, 166846 + ... + 167138.

Almost surely, 248928656 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 48928656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

48928656 is an abundant number, since it is smaller than the sum of its proper divisors (100686768).

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

48928656 is a wasteful number, since it uses less digits than its factorization.

48928656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 48928656 is about 6994.9021437044. The cubic root of 48928656 is about 365.7528864343.

The spelling of 48928656 in words is "forty-eight million, nine hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 71 84 98 112 142 147 168 196 213 284 293 294 336 392 426 497 568 586 588 784 852 879 994 1136 1172 1176 1491 1704 1758 1988 2051 2344 2352 2982 3408 3479 3516 3976 4102 4688 5964 6153 6958 7032 7952 8204 10437 11928 12306 13916 14064 14357 16408 20803 20874 23856 24612 27832 28714 32816 41606 41748 43071 49224 55664 57428 62409 83212 83496 86142 98448 114856 124818 145621 166424 166992 172284 229712 249636 291242 332848 344568 436863 499272 582484 689136 873726 998544 1019347 1164968 1747452 2038694 2329936 3058041 3494904 4077388 6116082 6989808 8154776 12232164 16309552 24464328 48928656