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5608608 = 253371579
BaseRepresentation
bin10101011001010010100000
3101112221120020
4111121102200
52413433413
6320113440
765446425
oct25312240
911487506
105608608
113190915
121a65880
131214b05
14a5dd4c
1575bc23
hex5594a0

5608608 has 48 divisors (see below), whose sum is σ = 15130080. Its totient is φ = 1817856.

The previous prime is 5608601. The next prime is 5608609. The reversal of 5608608 is 8068065.

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

It is not an unprimeable number, because it can be changed into a prime (5608601) 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, 2763 + ... + 4341.

It is an arithmetic number, because the mean of its divisors is an integer number (315210).

Almost surely, 25608608 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 5608608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7565040).

5608608 is an abundant number, since it is smaller than the sum of its proper divisors (9521472).

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

5608608 is a wasteful number, since it uses less digits than its factorization.

5608608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 5608608 is about 2368.2499868046. The cubic root of 5608608 is about 177.6717427869.

It can be divided in two parts, 5608 and 608, that added together give a triangular number (6216 = T111).

The spelling of 5608608 in words is "five million, six hundred eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1579 1776 3158 3552 4737 6316 9474 12632 18948 25264 37896 50528 58423 75792 116846 151584 175269 233692 350538 467384 701076 934768 1402152 1869536 2804304 5608608