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4713242256 = 24343899349
BaseRepresentation
bin1000110001110111…
…00101111010010000
3110011110210111220000
410120323211322100
534123042223011
62055405050000
7224540620032
oct43073457220
913143714800
104713242256
111aa9558738
12ab6556900
135a1619358
14329d77c52
151c8bb1356
hex118ee5e90

4713242256 has 100 divisors (see below), whose sum is σ = 13678021500. Its totient is φ = 1566874368.

The previous prime is 4713242249. The next prime is 4713242257. The reversal of 4713242256 is 6522423174.

It can be written as a sum of positive squares in 2 ways, for example, as 2668755600 + 2044486656 = 51660^2 + 45216^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4713242256.

It is not an unprimeable number, because it can be changed into a prime (4713242257) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 499470 + ... + 508818.

It is an arithmetic number, because the mean of its divisors is an integer number (136780215).

Almost surely, 24713242256 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 4713242256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839010750).

4713242256 is an abundant number, since it is smaller than the sum of its proper divisors (8964779244).

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

4713242256 is a wasteful number, since it uses less digits than its factorization.

4713242256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9758 (or 9743 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 4713242256 is about 68653.0571497002. The cubic root of 4713242256 is about 1676.6403778264.

The spelling of 4713242256 in words is "four billion, seven hundred thirteen million, two hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 389 432 648 778 1167 1296 1556 2334 3112 3501 4668 6224 7002 9336 9349 10503 14004 18672 18698 21006 28008 28047 31509 37396 42012 56016 56094 63018 74792 84024 84141 112188 126036 149584 168048 168282 224376 252072 252423 336564 448752 504144 504846 673128 757269 1009692 1346256 1514538 2019384 3029076 3636761 4038768 6058152 7273522 10910283 12116304 14547044 21820566 29094088 32730849 43641132 58188176 65461698 87282264 98192547 130923396 174564528 196385094 261846792 294577641 392770188 523693584 589155282 785540376 1178310564 1571080752 2356621128 4713242256