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398727952 = 24731412801
BaseRepresentation
bin10111110001000…
…001101100010000
31000210021110220221
4113301001230100
51304033243302
6103322042424
712611063110
oct2761015420
91023243827
10398727952
11195087237
12b1649414
13647b75cc
143ad53040
1525011937
hex17c41b10

398727952 has 80 divisors (see below), whose sum is σ = 933940224. Its totient is φ = 161280000.

The previous prime is 398727941. The next prime is 398727961. The reversal of 398727952 is 259727893.

It is a super-2 number, since 2×3987279522 = 317967959412228608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 398727952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140952 + ... + 143752.

Almost surely, 2398727952 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 398727952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466970112).

398727952 is an abundant number, since it is smaller than the sum of its proper divisors (535212272).

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

398727952 is a wasteful number, since it uses less digits than its factorization.

398727952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2882 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 52.

The square root of 398727952 is about 19968.1734768105. The cubic root of 398727952 is about 736.0244261742.

The spelling of 398727952 in words is "three hundred ninety-eight million, seven hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 62 82 112 124 164 217 248 287 328 434 496 574 656 868 1148 1271 1736 2296 2542 2801 3472 4592 5084 5602 8897 10168 11204 17794 19607 20336 22408 35588 39214 44816 71176 78428 86831 114841 142352 156856 173662 229682 313712 347324 459364 607817 694648 803887 918728 1215634 1389296 1607774 1837456 2431268 3215548 3560071 4862536 6431096 7120142 9725072 12862192 14240284 24920497 28480568 49840994 56961136 99681988 199363976 398727952