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648382944 = 25311613999
BaseRepresentation
bin100110101001011…
…000100111100000
31200012001021012010
4212221120213200
52311441223234
6144201032520
722032110166
oct4651304740
91605037163
10648382944
11302aa4780
12161185740
13a4438c61
146217d236
153bdc86e9
hex26a589e0

648382944 has 48 divisors (see below), whose sum is σ = 1856736000. Its totient is φ = 196479360.

The previous prime is 648382927. The next prime is 648382951. The reversal of 648382944 is 449283846.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 648382893 and 648382902.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 305944 + ... + 308055.

It is an arithmetic number, because the mean of its divisors is an integer number (38682000).

Almost surely, 2648382944 is an apocalyptic number.

It is an amenable number.

648382944 is an abundant number, since it is smaller than the sum of its proper divisors (1208353056).

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

648382944 is a wasteful number, since it uses less digits than its factorization.

648382944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614023 (or 614015 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 648382944 is about 25463.3647423116. The cubic root of 648382944 is about 865.5201718322.

The spelling of 648382944 in words is "six hundred forty-eight million, three hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 613999 1227998 1841997 2455996 3683994 4911992 6753989 7367988 9823984 13507978 14735976 19647968 20261967 27015956 29471952 40523934 54031912 58943904 81047868 108063824 162095736 216127648 324191472 648382944