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5348616 = 2337133179
BaseRepresentation
bin10100011001110100001000
3101001201220220
4110121310020
52332123431
6310350040
763314430
oct24316410
911051826
105348616
113023549
12195b320
131153680
149d32c0
15709b96
hex519d08

5348616 has 128 divisors (see below), whose sum is σ = 17203200. Its totient is φ = 1347840.

The previous prime is 5348597. The next prime is 5348621. The reversal of 5348616 is 6168435.

Its product of digits (17280) is a multiple of the sum of its prime divisors (135).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67665 + ... + 67743.

It is an arithmetic number, because the mean of its divisors is an integer number (134400).

Almost surely, 25348616 is an apocalyptic number.

5348616 is a gapful number since it is divisible by the number (56) 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 5348616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601600).

5348616 is an abundant number, since it is smaller than the sum of its proper divisors (11854584).

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

5348616 is a wasteful number, since it uses less digits than its factorization.

5348616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 5348616 is about 2312.7075042037. The cubic root of 5348616 is about 174.8828167876.

The spelling of 5348616 in words is "five million, three hundred forty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 79 84 91 93 104 124 156 158 168 182 186 217 237 248 273 312 316 364 372 403 434 474 546 553 632 651 728 744 806 868 948 1027 1092 1106 1209 1302 1612 1659 1736 1896 2054 2184 2212 2418 2449 2604 2821 3081 3224 3318 4108 4424 4836 4898 5208 5642 6162 6636 7189 7347 8216 8463 9672 9796 11284 12324 13272 14378 14694 16926 17143 19592 21567 22568 24648 28756 29388 31837 33852 34286 43134 51429 57512 58776 63674 67704 68572 86268 95511 102858 127348 137144 172536 191022 205716 222859 254696 382044 411432 445718 668577 764088 891436 1337154 1782872 2674308 5348616