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399607272 = 23321491932
BaseRepresentation
bin10111110100011…
…000010111101000
31000211221011010100
4113310120113220
51304244413042
6103352545400
712621414531
oct2764302750
91024834110
10399607272
11195627949
12b19b2260
1364a3490c
143b101688
152513724c
hex17d185e8

399607272 has 72 divisors (see below), whose sum is σ = 1095207750. Its totient is φ = 131622912.

The previous prime is 399607249. The next prime is 399607291. The reversal of 399607272 is 272706993.

It is a happy number.

399607272 is a `hidden beast` number, since 39 + 9 + 607 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 161645796 + 237961476 = 12714^2 + 15426^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2070408 + ... + 2070600.

Almost surely, 2399607272 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 399607272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547603875).

399607272 is an abundant number, since it is smaller than the sum of its proper divisors (695600478).

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

399607272 is a wasteful number, since it uses less digits than its factorization.

399607272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 399607272 is about 19990.1793888899. The cubic root of 399607272 is about 736.5650837135.

The spelling of 399607272 in words is "three hundred ninety-nine million, six hundred seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 193 298 386 447 579 596 772 894 1158 1192 1341 1544 1737 1788 2316 2682 3474 3576 4632 5364 6948 10728 13896 28757 37249 57514 74498 86271 111747 115028 148996 172542 223494 230056 258813 297992 335241 345084 446988 517626 670482 690168 893976 1035252 1340964 2070504 2681928 5550101 11100202 16650303 22200404 33300606 44400808 49950909 66601212 99901818 133202424 199803636 399607272