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1393865152 = 26312131173
BaseRepresentation
bin101001100010100…
…1011000111000000
310121010210200112021
41103011023013000
510323312141102
6350151211224
746353441541
oct12305130700
93533720467
101393865152
11655889579
1232a976b14
13192a112a4
14d31964c8
1582582137
hex5314b1c0

1393865152 has 84 divisors (see below), whose sum is σ = 2896517448. Its totient is φ = 665433600.

The previous prime is 1393865141. The next prime is 1393865171. The reversal of 1393865152 is 2515683931.

It is a junction number, because it is equal to n+sod(n) for n = 1393865099 and 1393865108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8056938 + ... + 8057110.

Almost surely, 21393865152 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 1393865152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448258724).

1393865152 is an abundant number, since it is smaller than the sum of its proper divisors (1502652296).

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

1393865152 is a wasteful number, since it uses less digits than its factorization.

1393865152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 337 counting only the distinct ones).

The product of its digits is 194400, while the sum is 43.

The square root of 1393865152 is about 37334.5035054706. The cubic root of 1393865152 is about 1117.0525050078.

The spelling of 1393865152 in words is "one billion, three hundred ninety-three million, eight hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 131 173 248 262 346 496 524 692 961 992 1048 1384 1922 1984 2096 2768 3844 4061 4192 5363 5536 7688 8122 8384 10726 11072 15376 16244 21452 22663 30752 32488 42904 45326 61504 64976 85808 90652 125891 129952 166253 171616 181304 251782 259904 332506 343232 362608 503564 665012 702553 725216 1007128 1330024 1405106 1450432 2014256 2660048 2810212 4028512 5320096 5620424 8057024 10640192 11240848 21779143 22481696 43558286 44963392 87116572 174233144 348466288 696932576 1393865152