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5158404 = 22362961
BaseRepresentation
bin10011101011011000000100
3100201002000000
4103223120010
52310032104
6302321300
761563036
oct23533004
910632000
105158404
112a03649
121889230
1310b7c14
14983c56
156bd639
hex4eb604

5158404 has 84 divisors (see below), whose sum is σ = 14230860. Its totient is φ = 1632960.

The previous prime is 5158393. The next prime is 5158411. The reversal of 5158404 is 4048515.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 3992004 = 1080^2 + 1998^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 84534 + ... + 84594.

It is an arithmetic number, because the mean of its divisors is an integer number (169415).

Almost surely, 25158404 is an apocalyptic number.

5158404 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5158404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115430).

5158404 is an abundant number, since it is smaller than the sum of its proper divisors (9072456).

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

5158404 is a wasteful number, since it uses less digits than its factorization.

5158404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5158404 is about 2271.2120112398. The cubic root of 5158404 is about 172.7846340503.

The spelling of 5158404 in words is "five million, one hundred fifty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 61 81 87 108 116 122 162 174 183 243 244 261 324 348 366 486 522 549 729 732 783 972 1044 1098 1458 1566 1647 1769 2196 2349 2916 3132 3294 3538 4698 4941 5307 6588 7047 7076 9396 9882 10614 14094 14823 15921 19764 21141 21228 28188 29646 31842 42282 44469 47763 59292 63684 84564 88938 95526 143289 177876 191052 286578 429867 573156 859734 1289601 1719468 2579202 5158404