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5740608416 = 251730493461
BaseRepresentation
bin1010101100010101…
…01011101110100000
3112211001222010022112
411112022223232200
543224043432131
62345345054452
7262154236454
oct52612535640
915731863275
105740608416
112486473084
121142627428
1370641871a
143c65aa664
15238e9b02b
hex1562abba0

5740608416 has 48 divisors (see below), whose sum is σ = 11974019400. Its totient is φ = 2699796480.

The previous prime is 5740608413. The next prime is 5740608421. The reversal of 5740608416 is 6148060475.

It can be written as a sum of positive squares in 4 ways, for example, as 3733210000 + 2007398416 = 61100^2 + 44804^2 .

It is not an unprimeable number, because it can be changed into a prime (5740608413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1656926 + ... + 1660386.

Almost surely, 25740608416 is an apocalyptic number.

It is an amenable number.

5740608416 is an abundant number, since it is smaller than the sum of its proper divisors (6233410984).

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

5740608416 is a wasteful number, since it uses less digits than its factorization.

5740608416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6537 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 5740608416 is about 75766.8028624674. The cubic root of 5740608416 is about 1790.5480273235.

The spelling of 5740608416 in words is "five billion, seven hundred forty million, six hundred eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 3049 3461 6098 6922 12196 13844 24392 27688 48784 51833 55376 58837 97568 103666 110752 117674 207332 235348 414664 470696 829328 941392 1658656 1882784 10552589 21105178 42210356 84420712 168841424 179394013 337682848 358788026 717576052 1435152104 2870304208 5740608416