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48925900864 = 264326432
BaseRepresentation
bin101101100100001101…
…100000000001000000
311200021201201021121101
4231210031200001000
51300200012311424
634250511504144
73351300203251
oct554415400100
9150251637541
1048925900864
1119827439515
129595228054
1347c938a2c9
142521c14b28
151415428344
hexb64360040

48925900864 has 63 divisors (see below), whose sum is σ = 99552512223. Its totient is φ = 23856884352.

The previous prime is 48925900813. The next prime is 48925900867. The reversal of 48925900864 is 46800952984.

The square root of 48925900864 is 221192.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48925900867) 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 8 ways as a sum of consecutive naturals, for example, 76089727 + ... + 76090369.

Almost surely, 248925900864 is an apocalyptic number.

48925900864 is the 221192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48925900864

48925900864 is an abundant number, since it is smaller than the sum of its proper divisors (50626611359).

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

48925900864 is an frugal number, since it uses more digits than its factorization.

48925900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 48925900864 in words is "forty-eight billion, nine hundred twenty-five million, nine hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 643 688 1286 1376 1849 2572 2752 3698 5144 7396 10288 14792 20576 27649 29584 41152 55298 59168 110596 118336 221192 413449 442384 826898 884768 1188907 1653796 1769536 2377814 3307592 4755628 6615184 9511256 13230368 17778307 19022512 26460736 35556614 38045024 71113228 76090048 142226456 284452912 568905824 764467201 1137811648 1528934402 3057868804 6115737608 12231475216 24462950432 48925900864