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5158810392 = 2332313171341
BaseRepresentation
bin1001100110111110…
…10011001100011000
3111022112012201110120
410303133103030120
541031123413032
62211523113240
7241561110351
oct46337231430
914275181416
105158810392
11220801766a
12bbb812820
13642a23a38
1436d200d28
15202d7662c
hex1337d3318

5158810392 has 64 divisors (see below), whose sum is σ = 13560687360. Its totient is φ = 1632259200.

The previous prime is 5158810351. The next prime is 5158810451. The reversal of 5158810392 is 2930188515.

It is a super-2 number, since 2×51588103922 = 53226649321214387328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36642 + ... + 107982.

It is an arithmetic number, because the mean of its divisors is an integer number (211885740).

Almost surely, 25158810392 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 5158810392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780343680).

5158810392 is an abundant number, since it is smaller than the sum of its proper divisors (8401876968).

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

5158810392 is a wasteful number, since it uses less digits than its factorization.

5158810392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71504 (or 71500 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 5158810392 is about 71824.8591505754. The cubic root of 5158810392 is about 1727.8917140005.

The spelling of 5158810392 in words is "five billion, one hundred fifty-eight million, eight hundred ten thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 131 138 184 262 276 393 524 552 786 1048 1572 3013 3144 6026 9039 12052 18078 24104 36156 71341 72312 142682 214023 285364 428046 570728 856092 1640843 1712184 3281686 4922529 6563372 9345671 9845058 13126744 18691342 19690116 28037013 37382684 39380232 56074026 74765368 112148052 214950433 224296104 429900866 644851299 859801732 1289702598 1719603464 2579405196 5158810392