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1396556928 = 27321393253
BaseRepresentation
bin101001100111101…
…1100010010000000
310121022212102221200
41103033130102000
510330004310203
6350325021200
746415352354
oct12317342200
93538772850
101396556928
11657357988
1232b854800
13193444560
14d3697464
15829149a3
hex533dc480

1396556928 has 96 divisors (see below), whose sum is σ = 4327918140. Its totient is φ = 429705216.

The previous prime is 1396556899. The next prime is 1396556929. The reversal of 1396556928 is 8296556931.

It is a happy number.

1396556928 is a `hidden beast` number, since 13 + 9 + 65 + 569 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1389201984 + 7354944 = 37272^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1396556929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31651 + ... + 61602.

Almost surely, 21396556928 is an apocalyptic number.

1396556928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1396556928 is an abundant number, since it is smaller than the sum of its proper divisors (2931361212).

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

1396556928 is a wasteful number, since it uses less digits than its factorization.

1396556928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93286 (or 93271 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 1396556928 is about 37370.5355594484. The cubic root of 1396556928 is about 1117.7711114959.

The spelling of 1396556928 in words is "one billion, three hundred ninety-six million, five hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 93253 186506 279759 373012 559518 746024 839277 1119036 1212289 1492048 1678554 2238072 2424578 2984096 3357108 3636867 4476144 4849156 5968192 6714216 7273734 8952288 9698312 10910601 11936384 13428432 14547468 17904576 19396624 21821202 26856864 29094936 35809152 38793248 43642404 53713728 58189872 77586496 87284808 107427456 116379744 155172992 174569616 232759488 349139232 465518976 698278464 1396556928