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5430261056 = 261183199467
BaseRepresentation
bin1010000111010101…
…10011010101000000
3112000102222211202212
411003222303111000
542110121323211
62254501201252
7251365312613
oct50352632500
915012884685
105430261056
112337271560
121076700228
13687036c2c
143972a217a
1521bae638b
hex143ab3540

5430261056 has 112 divisors (see below), whose sum is σ = 11982297600. Its totient is φ = 2421112320.

The previous prime is 5430261029. The next prime is 5430261071. The reversal of 5430261056 is 6501620345.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 11627735 + ... + 11628201.

It is an arithmetic number, because the mean of its divisors is an integer number (106984800).

Almost surely, 25430261056 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 5430261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991148800).

5430261056 is an abundant number, since it is smaller than the sum of its proper divisors (6552036544).

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

5430261056 is a wasteful number, since it uses less digits than its factorization.

5430261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 5430261056 is about 73690.3050339731. The cubic root of 5430261056 is about 1757.6817204202.

The spelling of 5430261056 in words is "five billion, four hundred thirty million, two hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 166 176 199 332 352 398 467 664 704 796 913 934 1328 1592 1826 1868 2189 2656 3184 3652 3736 4378 5137 5312 6368 7304 7472 8756 10274 12736 14608 14944 16517 17512 20548 29216 29888 33034 35024 38761 41096 58432 66068 70048 77522 82192 92933 132136 140096 155044 164384 181687 185866 264272 310088 328768 363374 371732 426371 528544 620176 726748 743464 852742 1022263 1057088 1240352 1453496 1486928 1705484 2044526 2480704 2906992 2973856 3410968 4089052 5813984 5947712 6821936 7713439 8178104 11627968 13643872 15426878 16356208 27287744 30853756 32712416 61707512 65424832 84847829 123415024 169695658 246830048 339391316 493660096 678782632 1357565264 2715130528 5430261056