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713841264 = 243229473637
BaseRepresentation
bin101010100011000…
…101101001110000
31211202012220010100
4222203011221300
52430220410024
6154500032400
723455356603
oct5243055160
91752186110
10713841264
11336a43564
1217b092700
13b4b774a6
146ab3c33a
1542a087c9
hex2a8c5a70

713841264 has 120 divisors (see below), whose sum is σ = 2111204160. Its totient is φ = 224792064.

The previous prime is 713841263. The next prime is 713841301. The reversal of 713841264 is 462148317.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713841263) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 194454 + ... + 198090.

It is an arithmetic number, because the mean of its divisors is an integer number (17593368).

Almost surely, 2713841264 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 713841264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055602080).

713841264 is an abundant number, since it is smaller than the sum of its proper divisors (1397362896).

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

713841264 is a wasteful number, since it uses less digits than its factorization.

713841264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3718 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 713841264 is about 26717.8079939205. The cubic root of 713841264 is about 893.7180919771.

The spelling of 713841264 in words is "seven hundred thirteen million, eight hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 47 48 58 72 87 94 116 141 144 174 188 232 261 282 348 376 423 464 522 564 696 752 846 1044 1128 1363 1392 1692 2088 2256 2726 3384 3637 4089 4176 5452 6768 7274 8178 10904 10911 12267 14548 16356 21808 21822 24534 29096 32712 32733 43644 49068 58192 65424 65466 87288 98136 105473 130932 170939 174576 196272 210946 261864 316419 341878 421892 512817 523728 632838 683756 843784 949257 1025634 1265676 1367512 1538451 1687568 1898514 2051268 2531352 2735024 3076902 3797028 4102536 4957231 5062704 6153804 7594056 8205072 9914462 12307608 14871693 15188112 19828924 24615216 29743386 39657848 44615079 59486772 79315696 89230158 118973544 178460316 237947088 356920632 713841264