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48808656 = 2434132897
BaseRepresentation
bin1011101000110…
…0001011010000
310101211201220000
42322030023100
544443334111
64502050000
71131603201
oct272141320
9111751800
1048808656
1125607736
1214419900
13a15c080
1466a75a8
154441c56
hex2e8c2d0

48808656 has 100 divisors (see below), whose sum is σ = 152185572. Its totient is φ = 15012864.

The previous prime is 48808637. The next prime is 48808657. The reversal of 48808656 is 65680884.

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 42458256 = 2520^2 + 6516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48808657) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 15400 + ... + 18296.

Almost surely, 248808656 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 48808656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76092786).

48808656 is an abundant number, since it is smaller than the sum of its proper divisors (103376916).

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

48808656 is a wasteful number, since it uses less digits than its factorization.

48808656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 48808656 is about 6986.3192025558. The cubic root of 48808656 is about 365.4536325136.

The spelling of 48808656 in words is "forty-eight million, eight hundred eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 2897 4212 5616 5794 8424 8691 11588 16848 17382 23176 26073 34764 37661 46352 52146 69528 75322 78219 104292 112983 139056 150644 156438 208584 225966 234657 301288 312876 338949 417168 451932 469314 602576 625752 677898 903864 938628 1016847 1251504 1355796 1807728 1877256 2033694 2711592 3050541 3754512 4067388 5423184 6101082 8134776 12202164 16269552 24404328 48808656