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725002368 = 2733475441
BaseRepresentation
bin101011001101101…
…010100010000000
31212112012221021120
4223031222202000
52441100033433
6155535152240
723652263346
oct5315524200
91775187246
10725002368
11342277012
12182975680
13b72846ac
146c405996
15439b07b3
hex2b36a880

725002368 has 64 divisors (see below), whose sum is σ = 1931692320. Its totient is φ = 240926720.

The previous prime is 725002279. The next prime is 725002373. The reversal of 725002368 is 863200527.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130528 + ... + 135968.

Almost surely, 2725002368 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 725002368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965846160).

725002368 is an abundant number, since it is smaller than the sum of its proper divisors (1206689952).

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

725002368 is a wasteful number, since it uses less digits than its factorization.

725002368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 725002368 is about 26925.8680082927. The cubic root of 725002368 is about 898.3518676371.

The spelling of 725002368 in words is "seven hundred twenty-five million, two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 347 384 694 1041 1388 2082 2776 4164 5441 5552 8328 10882 11104 16323 16656 21764 22208 32646 33312 43528 44416 65292 66624 87056 130584 133248 174112 261168 348224 522336 696448 1044672 1888027 2089344 3776054 5664081 7552108 11328162 15104216 22656324 30208432 45312648 60416864 90625296 120833728 181250592 241667456 362501184 725002368