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5025664 = 2777179
BaseRepresentation
bin10011001010111110000000
3100110022220201
4103022332000
52241310124
6255414544
760501040
oct23127600
910408821
105025664
112922946
121824454
13106c687
1494b720
15694144
hex4caf80

5025664 has 64 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 2096640.

The previous prime is 5025653. The next prime is 5025677. The reversal of 5025664 is 4665205.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 63577 + ... + 63655.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 25025664 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 5025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

5025664 is an abundant number, since it is smaller than the sum of its proper divisors (6724736).

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

5025664 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (5025663) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (159).

5025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5025664 is about 2241.7992773663. The cubic root of 5025664 is about 171.2896610148.

The spelling of 5025664 in words is "five million, twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 79 112 128 142 158 224 284 316 448 497 553 568 632 896 994 1106 1136 1264 1988 2212 2272 2528 3976 4424 4544 5056 5609 7952 8848 9088 10112 11218 15904 17696 22436 31808 35392 39263 44872 63616 70784 78526 89744 157052 179488 314104 358976 628208 717952 1256416 2512832 5025664