Search a number
-
+
452157696 = 28324432
BaseRepresentation
bin11010111100110…
…110000100000000
31011111210222202100
4122330312010000
51411223021241
6112511150400
714130164004
oct3274660400
91144728670
10452157696
1121225a851
12107515400
13728a3b43
14440a0704
1529a679b6
hex1af36100

452157696 has 81 divisors (see below), whose sum is σ = 1306631599. Its totient is φ = 150379008.

The previous prime is 452157691. The next prime is 452157697. The reversal of 452157696 is 696751254.

The square root of 452157696 is 21264.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (452157691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1020451 + ... + 1020893.

Almost surely, 2452157696 is an apocalyptic number.

452157696 is the 21264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452157696

452157696 is an abundant number, since it is smaller than the sum of its proper divisors (854473903).

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

452157696 is an frugal number, since it uses more digits than its factorization.

452157696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 448 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The cubic root of 452157696 is about 767.5322672793.

The spelling of 452157696 in words is "four hundred fifty-two million, one hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 443 576 768 886 1152 1329 1772 2304 2658 3544 3987 5316 7088 7974 10632 14176 15948 21264 28352 31896 42528 56704 63792 85056 113408 127584 170112 196249 255168 340224 392498 510336 588747 784996 1020672 1177494 1569992 1766241 2354988 3139984 3532482 4709976 6279968 7064964 9419952 12559936 14129928 18839904 25119872 28259856 37679808 50239744 56519712 75359616 113039424 150719232 226078848 452157696