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713506512 = 24379832267
BaseRepresentation
bin101010100001110…
…011111011010000
31211201120212221010
4222201303323100
52430124202022
6154444530520
723452463625
oct5241637320
91751525833
10713506512
11336835004
1217ab50a40
13b4a8b004
146aa9234c
154298e50c
hex2a873ed0

713506512 has 80 divisors (see below), whose sum is σ = 1889879040. Its totient is φ = 231893376.

The previous prime is 713506499. The next prime is 713506513. The reversal of 713506512 is 215605317.

713506512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7135065122 = 1018183085332812288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 713506512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713506513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313603 + ... + 315869.

It is an arithmetic number, because the mean of its divisors is an integer number (23623488).

Almost surely, 2713506512 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 713506512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

713506512 is an abundant number, since it is smaller than the sum of its proper divisors (1176372528).

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

713506512 is a wasteful number, since it uses less digits than its factorization.

713506512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 713506512 is about 26711.5426735335. The cubic root of 713506512 is about 893.5783687121.

The spelling of 713506512 in words is "seven hundred thirteen million, five hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 83 158 166 237 249 316 332 474 498 632 664 948 996 1264 1328 1896 1992 2267 3792 3984 4534 6557 6801 9068 13114 13602 18136 19671 26228 27204 36272 39342 52456 54408 78684 104912 108816 157368 179093 188161 314736 358186 376322 537279 564483 716372 752644 1074558 1128966 1432744 1505288 2149116 2257932 2865488 3010576 4298232 4515864 8596464 9031728 14864719 29729438 44594157 59458876 89188314 118917752 178376628 237835504 356753256 713506512