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5308032 = 27323601
BaseRepresentation
bin10100001111111010000000
3100222200020210
4110033322000
52324324112
6305434120
763055212
oct24177200
910880223
105308032
112aa6004
12193b940
13113b062
149c25b2
156ecb3c
hex50fe80

5308032 has 64 divisors (see below), whose sum is σ = 14736960. Its totient is φ = 1689600.

The previous prime is 5308021. The next prime is 5308033. The reversal of 5308032 is 2308035.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5308033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8532 + ... + 9132.

It is an arithmetic number, because the mean of its divisors is an integer number (230265).

Almost surely, 25308032 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 5308032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368480).

5308032 is an abundant number, since it is smaller than the sum of its proper divisors (9428928).

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

5308032 is a wasteful number, since it uses less digits than its factorization.

5308032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5308032 is about 2303.9166651596. The cubic root of 5308032 is about 174.4393705128.

The spelling of 5308032 in words is "five million, three hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 601 736 1104 1202 1472 1803 2208 2404 2944 3606 4416 4808 7212 8832 9616 13823 14424 19232 27646 28848 38464 41469 55292 57696 76928 82938 110584 115392 165876 221168 230784 331752 442336 663504 884672 1327008 1769344 2654016 5308032