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7242257856 = 263174914519
BaseRepresentation
bin1101011111010110…
…00001010111000000
3200200201120211002110
412233223001113000
5104313004222411
63154350415320
7344320114251
oct65753012700
920621524073
107242257856
11308707a579
1214a1501540
138b55676a2
144c9bbcb28
152c5c1e2a6
hex1afac15c0

7242257856 has 112 divisors (see below), whose sum is σ = 20334792960. Its totient is φ = 2266951680.

The previous prime is 7242257833. The next prime is 7242257903. The reversal of 7242257856 is 6587522427.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600365 + ... + 1604883.

Almost surely, 27242257856 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 7242257856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10167396480).

7242257856 is an abundant number, since it is smaller than the sum of its proper divisors (13092535104).

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

7242257856 is a wasteful number, since it uses less digits than its factorization.

7242257856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5032 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The square root of 7242257856 is about 85101.4562507599. The cubic root of 7242257856 is about 1934.7491350625.

The spelling of 7242257856 in words is "seven billion, two hundred forty-two million, two hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 491 544 816 982 1088 1473 1632 1964 2946 3264 3928 4519 5892 7856 8347 9038 11784 13557 15712 16694 18076 23568 25041 27114 31424 33388 36152 47136 50082 54228 66776 72304 76823 94272 100164 108456 133552 144608 153646 200328 216912 230469 267104 289216 307292 400656 433824 460938 534208 614584 801312 867648 921876 1229168 1602624 1843752 2218829 2458336 3687504 4437658 4916672 6656487 7375008 8875316 13312974 14750016 17750632 26625948 35501264 37720093 53251896 71002528 75440186 106503792 113160279 142005056 150880372 213007584 226320558 301760744 426015168 452641116 603521488 905282232 1207042976 1810564464 2414085952 3621128928 7242257856