Search a number
-
+
402397072 = 247111719213
BaseRepresentation
bin10111111111000…
…001011110010000
31001001011220000021
4113333001132100
51311003201242
6103532433224
712654214210
oct2777013620
91031156007
10402397072
11197162970
12b2918814
13654a069c
143b62a240
15254d8b67
hex17fc1790

402397072 has 80 divisors (see below), whose sum is σ = 1029255552. Its totient is φ = 147548160.

The previous prime is 402397063. The next prime is 402397091. The reversal of 402397072 is 270793204.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 11338 + ... + 30550.

Almost surely, 2402397072 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 402397072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514627776).

402397072 is an abundant number, since it is smaller than the sum of its proper divisors (626858480).

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

402397072 is a wasteful number, since it uses less digits than its factorization.

402397072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19256 (or 19250 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 402397072 is about 20059.8372874757. The cubic root of 402397072 is about 738.2751842310.

The spelling of 402397072 in words is "four hundred two million, three hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 5236 10472 19213 20944 38426 76852 134491 153704 211343 268982 307408 326621 422686 537964 653242 845372 1075928 1306484 1479401 1690744 2151856 2286347 2612968 2958802 3381488 3592831 4572694 5225936 5917604 7185662 9145388 11835208 14371324 18290776 23670416 25149817 28742648 36581552 50299634 57485296 100599268 201198536 402397072