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693856384 = 27133113451
BaseRepresentation
bin101001010110110…
…110100010000000
31210100121120000121
4221112312202000
52410111401014
6152503430024
723123452624
oct5126664200
91710546017
10693856384
11326733631
12174455314
13b099ac10
1468219184
1540dac124
hex295b6880

693856384 has 64 divisors (see below), whose sum is σ = 1536756480. Its totient is φ = 309888000.

The previous prime is 693856379. The next prime is 693856393. The reversal of 693856384 is 483658396.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44859 + ... + 58309.

It is an arithmetic number, because the mean of its divisors is an integer number (24011820).

Almost surely, 2693856384 is an apocalyptic number.

693856384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768378240).

693856384 is an abundant number, since it is smaller than the sum of its proper divisors (842900096).

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

693856384 is a wasteful number, since it uses less digits than its factorization.

693856384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13509 (or 13497 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 52.

The square root of 693856384 is about 26341.1538092013. The cubic root of 693856384 is about 885.2987740740.

The spelling of 693856384 in words is "six hundred ninety-three million, eight hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 992 1612 1664 1984 3224 3968 6448 12896 13451 25792 26902 51584 53804 107608 174863 215216 349726 416981 430432 699452 833962 860864 1398904 1667924 1721728 2797808 3335848 5420753 5595616 6671696 10841506 11191232 13343392 21683012 22382464 26686784 43366024 53373568 86732048 173464096 346928192 693856384