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714813696 = 28325572
BaseRepresentation
bin101010100110110…
…011000100000000
31211211001022001100
4222212303010000
52430443014241
6154532534400
723466546642
oct5246630400
91754038040
10714813696
11337548123
1217b481400
13b5127cac
146ad12892
1542b4b9b6
hex2a9b3100

714813696 has 81 divisors (see below), whose sum is σ = 2064690901. Its totient is φ = 237843456.

The previous prime is 714813667. The next prime is 714813709. The reversal of 714813696 is 696318417.

It is a happy number.

The square root of 714813696 is 26736.

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

It can be written as a sum of positive squares in only one way, i.e., 62726400 + 652087296 = 7920^2 + 25536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1283050 + ... + 1283606.

Almost surely, 2714813696 is an apocalyptic number.

714813696 is the 26736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714813696

714813696 is an abundant number, since it is smaller than the sum of its proper divisors (1349877205).

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

714813696 is an frugal number, since it uses more digits than its factorization.

714813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 562 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The cubic root of 714813696 is about 894.1237310541.

The spelling of 714813696 in words is "seven hundred fourteen million, eight hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 557 576 768 1114 1152 1671 2228 2304 3342 4456 5013 6684 8912 10026 13368 17824 20052 26736 35648 40104 53472 71296 80208 106944 142592 160416 213888 310249 320832 427776 620498 641664 930747 1240996 1283328 1861494 2481992 2792241 3722988 4963984 5584482 7445976 9927968 11168964 14891952 19855936 22337928 29783904 39711872 44675856 59567808 79423744 89351712 119135616 178703424 238271232 357406848 714813696