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5225431456 = 257231079479
BaseRepresentation
bin1001101110111010…
…11100000110100000
3111111011120102101101
410313131130012200
541200202301311
62222303044144
7243330302020
oct46735340640
914434512341
105225431456
11224168aaa3
121019ba0654
1365377b59b
14377dc3a80
15208b35ec1
hex13775c1a0

5225431456 has 96 divisors (see below), whose sum is σ = 12384368640. Its totient is φ = 2121858816.

The previous prime is 5225431451. The next prime is 5225431459. The reversal of 5225431456 is 6541345225.

It is not an unprimeable number, because it can be changed into a prime (5225431451) 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, 546525 + ... + 556003.

It is an arithmetic number, because the mean of its divisors is an integer number (129003840).

Almost surely, 25225431456 is an apocalyptic number.

5225431456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5225431456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192184320).

5225431456 is an abundant number, since it is smaller than the sum of its proper divisors (7158937184).

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

5225431456 is a wasteful number, since it uses less digits than its factorization.

5225431456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9626 (or 9618 counting only the distinct ones).

The product of its digits is 144000, while the sum is 37.

The square root of 5225431456 is about 72287.1458559542. The cubic root of 5225431456 is about 1735.2979421724.

The spelling of 5225431456 in words is "five billion, two hundred twenty-five million, four hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 107 112 161 184 214 224 322 368 428 644 736 749 856 1288 1498 1712 2461 2576 2996 3424 4922 5152 5992 9479 9844 11984 17227 18958 19688 23968 34454 37916 39376 66353 68908 75832 78752 132706 137816 151664 218017 265412 275632 303328 436034 530824 551264 872068 1014253 1061648 1526119 1744136 2028506 2123296 3052238 3488272 4057012 6104476 6976544 7099771 8114024 12208952 14199542 16228048 23327819 24417904 28399084 32456096 46655638 48835808 56798168 93311276 113596336 163294733 186622552 227192672 326589466 373245104 653178932 746490208 1306357864 2612715728 5225431456