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5241254496 = 253179293457
BaseRepresentation
bin1001110000110011…
…10011001001100000
3111112021100022111220
410320121303021200
541213230120441
62224030135040
7243611633232
oct47031631140
914467308456
105241254496
11224a608095
121023351480
13656b2b72a
1437a142252
1520a20e466
hex138673260

5241254496 has 96 divisors (see below), whose sum is σ = 14587503840. Its totient is φ = 1642070016.

The previous prime is 5241254441. The next prime is 5241254497. The reversal of 5241254496 is 6944521425.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5241254497) 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, 1514400 + ... + 1517856.

It is an arithmetic number, because the mean of its divisors is an integer number (151953165).

Almost surely, 25241254496 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 5241254496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293751920).

5241254496 is an abundant number, since it is smaller than the sum of its proper divisors (9346249344).

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

5241254496 is a wasteful number, since it uses less digits than its factorization.

5241254496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4408 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 5241254496 is about 72396.5088661049. The cubic root of 5241254496 is about 1737.0477192509.

The spelling of 5241254496 in words is "five billion, two hundred forty-one million, two hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 929 1632 1858 2787 3457 3716 5574 6914 7432 10371 11148 13828 14864 15793 20742 22296 27656 29728 31586 41484 44592 47379 55312 58769 63172 82968 89184 94758 110624 117538 126344 165936 176307 189516 235076 252688 331872 352614 379032 470152 505376 705228 758064 940304 1410456 1516128 1880608 2820912 3211553 5641824 6423106 9634659 12846212 19269318 25692424 38538636 51384848 54596401 77077272 102769696 109192802 154154544 163789203 218385604 308309088 327578406 436771208 655156812 873542416 1310313624 1747084832 2620627248 5241254496