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5358096 = 243379157
BaseRepresentation
bin10100011100001000010000
3101002012221000
4110130020100
52332424341
6310502000
763354162
oct24341020
911065830
105358096
11302a687
121964900
131157a93
149d6932
1570c8b6
hex51c210

5358096 has 80 divisors (see below), whose sum is σ = 15673600. Its totient is φ = 1752192.

The previous prime is 5358083. The next prime is 5358109. The reversal of 5358096 is 6908535.

It is an interprime number because it is at equal distance from previous prime (5358083) and next prime (5358109).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5358096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34050 + ... + 34206.

It is an arithmetic number, because the mean of its divisors is an integer number (195920).

Almost surely, 25358096 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 5358096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836800).

5358096 is an abundant number, since it is smaller than the sum of its proper divisors (10315504).

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

5358096 is a wasteful number, since it uses less digits than its factorization.

5358096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5358096 is about 2314.7561426638. The cubic root of 5358096 is about 174.9860778040.

The spelling of 5358096 in words is "five million, three hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 157 158 216 237 314 316 432 471 474 628 632 711 942 948 1256 1264 1413 1422 1884 1896 2133 2512 2826 2844 3768 3792 4239 4266 5652 5688 7536 8478 8532 11304 11376 12403 16956 17064 22608 24806 33912 34128 37209 49612 67824 74418 99224 111627 148836 198448 223254 297672 334881 446508 595344 669762 893016 1339524 1786032 2679048 5358096