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604872672 = 25341239643
BaseRepresentation
bin100100000011011…
…001111111100000
31120011011201022120
4210003121333200
52214321411142
6140004304240
720663222115
oct4403317740
91504151276
10604872672
11290486878
1214a6a2080
1398413731
145a49490c
15381817ec
hex240d9fe0

604872672 has 96 divisors (see below), whose sum is σ = 1635863040. Its totient is φ = 195578880.

The previous prime is 604872659. The next prime is 604872677. The reversal of 604872672 is 276278406.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (604872677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940383 + ... + 941025.

It is an arithmetic number, because the mean of its divisors is an integer number (17040240).

Almost surely, 2604872672 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 604872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817931520).

604872672 is an abundant number, since it is smaller than the sum of its proper divisors (1030990368).

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

604872672 is a wasteful number, since it uses less digits than its factorization.

604872672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 604872672 is about 24594.1593066321. The cubic root of 604872672 is about 845.7097182699.

The spelling of 604872672 in words is "six hundred four million, eight hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 239 246 328 478 492 643 656 717 956 984 1286 1312 1434 1912 1929 1968 2572 2868 3824 3858 3936 5144 5736 7648 7716 9799 10288 11472 15432 19598 20576 22944 26363 29397 30864 39196 52726 58794 61728 78392 79089 105452 117588 153677 156784 158178 210904 235176 307354 313568 316356 421808 461031 470352 614708 632712 843616 922062 940704 1229416 1265424 1844124 2458832 2530848 3688248 4917664 6300757 7376496 12601514 14752992 18902271 25203028 37804542 50406056 75609084 100812112 151218168 201624224 302436336 604872672