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714940992 = 263545971
BaseRepresentation
bin101010100111010…
…010001001000000
31211211021202200000
4222213102021000
52431011102432
6154535400000
723500620033
oct5247221100
91754252600
10714940992
11337624827
1217b523000
13b5170c0c
146ad4701a
1542b7457c
hex2a9d2240

714940992 has 84 divisors (see below), whose sum is σ = 2125193616. Its totient is φ = 238308480.

The previous prime is 714940991. The next prime is 714940999. The reversal of 714940992 is 299049417.

It is a happy number.

714940992 is a `hidden beast` number, since 71 + 494 + 0 + 9 + 92 = 666.

It is a super-2 number, since 2×7149409922 = 1022281244083888128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (714940991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7434 + ... + 38537.

It is an arithmetic number, because the mean of its divisors is an integer number (25299924).

Almost surely, 2714940992 is an apocalyptic number.

714940992 is a gapful number since it is divisible by the number (72) 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 714940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062596808).

714940992 is an abundant number, since it is smaller than the sum of its proper divisors (1410252624).

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

714940992 is an equidigital number, since it uses as much as digits as its factorization.

714940992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45998 (or 45976 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 714940992 is about 26738.3805044359. The cubic root of 714940992 is about 894.1768039128.

The spelling of 714940992 in words is "seven hundred fourteen million, nine hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 45971 91942 137913 183884 275826 367768 413739 551652 735536 827478 1103304 1241217 1471072 1654956 2206608 2482434 2942144 3309912 3723651 4413216 4964868 6619824 7447302 8826432 9929736 11170953 13239648 14894604 19859472 22341906 26479296 29789208 39718944 44683812 59578416 79437888 89367624 119156832 178735248 238313664 357470496 714940992