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5108427408 = 243748731219
BaseRepresentation
bin1001100000111110…
…00110101010010000
3111012000102000000010
410300133012222100
540430224134113
62202523154520
7240406626240
oct46037065220
914160360003
105108427408
112191635137
12ba6975a40
13635463216
14366647b20
151ed7231c3
hex1307c6a90

5108427408 has 80 divisors (see below), whose sum is σ = 15113477120. Its totient is φ = 1456507008.

The previous prime is 5108427407. The next prime is 5108427409. The reversal of 5108427408 is 8047248015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5108427407) and next prime (5108427409).

It is not an unprimeable number, because it can be changed into a prime (5108427407) 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, 148023 + ... + 179241.

It is an arithmetic number, because the mean of its divisors is an integer number (188918464).

Almost surely, 25108427408 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 5108427408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7556738560).

5108427408 is an abundant number, since it is smaller than the sum of its proper divisors (10005049712).

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

5108427408 is a wasteful number, since it uses less digits than its factorization.

5108427408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31724 (or 31718 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 5108427408 is about 71473.2635885616. The cubic root of 5108427408 is about 1722.2482102576.

The spelling of 5108427408 in words is "five billion, one hundred eight million, four hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 487 974 1461 1948 2922 3409 3896 5844 6818 7792 10227 11688 13636 20454 23376 27272 31219 40908 54544 62438 81816 93657 124876 163632 187314 218533 249752 374628 437066 499504 655599 749256 874132 1311198 1498512 1748264 2622396 3496528 5244792 10489584 15203653 30407306 45610959 60814612 91221918 106425571 121629224 182443836 212851142 243258448 319276713 364887672 425702284 638553426 729775344 851404568 1277106852 1702809136 2554213704 5108427408