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713228544 = 2833714741
BaseRepresentation
bin101010100000110…
…000000100000000
31211201001202122000
4222200300010000
52430041303134
6154434544000
723450225340
oct5240600400
91751052560
10713228544
11336665186
1217aa38000
13b49c1632
146aa1cd20
1542936e99
hex2a830100

713228544 has 144 divisors (see below), whose sum is σ = 2410611840. Its totient is φ = 203765760.

The previous prime is 713228533. The next prime is 713228609. The reversal of 713228544 is 445822317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 713228499 and 713228508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41014 + ... + 55754.

It is an arithmetic number, because the mean of its divisors is an integer number (16740360).

Almost surely, 2713228544 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 713228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205305920).

713228544 is an abundant number, since it is smaller than the sum of its proper divisors (1697383296).

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

713228544 is a wasteful number, since it uses less digits than its factorization.

713228544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14773 (or 14753 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 713228544 is about 26706.3390227863. The cubic root of 713228544 is about 893.4623134973.

The spelling of 713228544 in words is "seven hundred thirteen million, two hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 14741 16128 24192 29482 44223 48384 58964 88446 103187 117928 132669 176892 206374 235856 265338 309561 353784 398007 412748 471712 530676 619122 707568 796014 825496 928683 943424 1061352 1238244 1415136 1592028 1650992 1857366 1886848 2122704 2476488 2786049 2830272 3184056 3301984 3714732 3773696 4245408 4952976 5572098 5660544 6368112 6603968 7429464 8490816 9905952 11144196 11321088 12736224 13207936 14858928 16981632 19811904 22288392 25472448 26415872 29717856 33963264 39623808 44576784 50944896 59435712 79247616 89153568 101889792 118871424 178307136 237742848 356614272 713228544