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5615328 = 253292017
BaseRepresentation
bin10101011010111011100000
3101120021210010
4111122323200
52414142303
6320204520
765505135
oct25327340
911507703
105615328
113195974
121a69740
131217ba4
14a6258c
1575dc03
hex55aee0

5615328 has 48 divisors (see below), whose sum is σ = 15256080. Its totient is φ = 1806336.

The previous prime is 5615303. The next prime is 5615333. The reversal of 5615328 is 8235165.

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

It is a junction number, because it is equal to n+sod(n) for n = 5615295 and 5615304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1776 + ... + 3792.

It is an arithmetic number, because the mean of its divisors is an integer number (317835).

Almost surely, 25615328 is an apocalyptic number.

5615328 is a gapful number since it is divisible by the number (58) 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 5615328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628040).

5615328 is an abundant number, since it is smaller than the sum of its proper divisors (9640752).

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

5615328 is a wasteful number, since it uses less digits than its factorization.

5615328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2051 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 5615328 is about 2369.6683312227. The cubic root of 5615328 is about 177.7426740875.

The spelling of 5615328 in words is "five million, six hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2017 2784 4034 6051 8068 12102 16136 24204 32272 48408 58493 64544 96816 116986 175479 193632 233972 350958 467944 701916 935888 1403832 1871776 2807664 5615328