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5308896 = 253173253
BaseRepresentation
bin10100010000000111100000
3100222201102210
4110100013200
52324341041
6305442120
763060555
oct24200740
910881383
105308896
112aa671a
121940340
13113b578
149c2a2c
156ed016
hex5101e0

5308896 has 48 divisors (see below), whose sum is σ = 14760144. Its totient is φ = 1665024.

The previous prime is 5308889. The next prime is 5308903. The reversal of 5308896 is 6988035.

5308896 = T11 + T12 + ... + T316.

It is an interprime number because it is at equal distance from previous prime (5308889) and next prime (5308903).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6 + ... + 3258.

It is an arithmetic number, because the mean of its divisors is an integer number (307503).

Almost surely, 25308896 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 5308896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380072).

5308896 is an abundant number, since it is smaller than the sum of its proper divisors (9451248).

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

5308896 is a wasteful number, since it uses less digits than its factorization.

5308896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 5308896 is about 2304.1041643120. The cubic root of 5308896 is about 174.4488346255.

The spelling of 5308896 in words is "five million, three hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 3253 6506 9759 13012 19518 26024 39036 52048 55301 78072 104096 110602 156144 165903 221204 312288 331806 442408 663612 884816 1327224 1769632 2654448 5308896