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48286656 = 2632117621
BaseRepresentation
bin1011100000110…
…0101111000000
310100212012211200
42320030233000
544330133111
64442541200
71124300265
oct270145700
9110765750
1048286656
1125290530
1214207800
13a0085b2
1465ad26c
15438c256
hex2e0cbc0

48286656 has 84 divisors (see below), whose sum is σ = 151007064. Its totient is φ = 14630400.

The previous prime is 48286621. The next prime is 48286663. The reversal of 48286656 is 65668284.

It is a super-2 number, since 2×482866562 = 4663202295324672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2526 + ... + 10146.

Almost surely, 248286656 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 48286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75503532).

48286656 is an abundant number, since it is smaller than the sum of its proper divisors (102720408).

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

48286656 is a wasteful number, since it uses less digits than its factorization.

48286656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650 (or 7637 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 48286656 is about 6948.8600503968. The cubic root of 48286656 is about 364.1461394440.

The spelling of 48286656 in words is "forty-eight million, two hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 7621 15242 22863 30484 45726 60968 68589 83831 91452 121936 137178 167662 182904 243872 251493 274356 335324 365808 487744 502986 548712 670648 731616 754479 1005972 1097424 1341296 1463232 1508958 2011944 2194848 2682592 3017916 4023888 4389696 5365184 6035832 8047776 12071664 16095552 24143328 48286656