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1393976896 = 261323592
BaseRepresentation
bin101001100010110…
…0110011001000000
310121011000100210221
41103011212121000
510323324230041
6350153432424
746354415404
oct12305463100
93534010727
101393976896
11655955524
1232aa0b714
13192a50100
14d31c5104
15825a52d1
hex53166640

1393976896 has 63 divisors (see below), whose sum is σ = 3003690081. Its totient is φ = 641581824.

The previous prime is 1393976873. The next prime is 1393976921. The reversal of 1393976896 is 6986793931.

The square root of 1393976896 is 37336.

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., 206209600 + 1187767296 = 14360^2 + 34464^2 .

It is a Duffinian number.

Its product of digits (13226976) is a multiple of the sum of its prime factors (756).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3882765 + ... + 3883123.

Almost surely, 21393976896 is an apocalyptic number.

1393976896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1393976896 is the 37336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1393976896

1393976896 is an abundant number, since it is smaller than the sum of its proper divisors (1609713185).

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

1393976896 is an frugal number, since it uses more digits than its factorization.

1393976896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 374 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 61.

The cubic root of 1393976896 is about 1117.0823549971.

The spelling of 1393976896 in words is "one billion, three hundred ninety-three million, nine hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 359 416 676 718 832 1352 1436 2704 2872 4667 5408 5744 9334 10816 11488 18668 22976 37336 60671 74672 121342 128881 149344 242684 257762 298688 485368 515524 970736 1031048 1675453 1941472 2062096 3350906 3882944 4124192 6701812 8248384 13403624 21780889 26807248 43561778 53614496 87123556 107228992 174247112 348494224 696988448 1393976896