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714365856 = 253212719531
BaseRepresentation
bin101010100101000…
…101101110100000
31211210012112201200
4222211011232200
52430334201411
6154515201200
723463003201
oct5245055640
91753175650
10714365856
11337271706
1217b2a6200
13b4ccc1b9
146ac375a8
1542aade56
hex2a945ba0

714365856 has 72 divisors (see below), whose sum is σ = 2047578624. Its totient is φ = 236234880.

The previous prime is 714365849. The next prime is 714365879. The reversal of 714365856 is 658563417.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7143658562 = 1020637152437225472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 26811 + ... + 46341.

It is an arithmetic number, because the mean of its divisors is an integer number (28438592).

Almost surely, 2714365856 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 714365856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023789312).

714365856 is an abundant number, since it is smaller than the sum of its proper divisors (1333212768).

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

714365856 is a wasteful number, since it uses less digits than its factorization.

714365856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19674 (or 19663 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 714365856 is about 26727.6234633759. The cubic root of 714365856 is about 893.9369653618.

The spelling of 714365856 in words is "seven hundred fourteen million, three hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 9144 12192 18288 19531 36576 39062 58593 78124 117186 156248 175779 234372 312496 351558 468744 624992 703116 937488 1406232 1874976 2480437 2812464 4960874 5624928 7441311 9921748 14882622 19843496 22323933 29765244 39686992 44647866 59530488 79373984 89295732 119060976 178591464 238121952 357182928 714365856