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625328 = 241121719
BaseRepresentation
bin10011000101010110000
31011202210022
42120222300
5130002303
621223012
75213054
oct2305260
91152708
10625328
11397900
12261a68
1318b822
14123c64
15c5438
hex98ab0

625328 has 60 divisors (see below), whose sum is σ = 1484280. Its totient is φ = 253440.

The previous prime is 625319. The next prime is 625343. The reversal of 625328 is 823526.

It is a d-powerful number, because it can be written as 67 + 210 + 3 + 57 + 218 + 84 .

It is a junction number, because it is equal to n+sod(n) for n = 625297 and 625306.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 625328.

It is an unprimeable number.

625328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32903 + ... + 32921.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2625328 is an apocalyptic number.

625328 is a gapful number since it is divisible by the number (68) 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 625328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742140).

625328 is an abundant number, since it is smaller than the sum of its proper divisors (858952).

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

625328 is a wasteful number, since it uses less digits than its factorization.

625328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 625328 is about 790.7768332469. The cubic root of 625328 is about 85.5137513078.

The spelling of 625328 in words is "six hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 121 136 152 176 187 209 242 272 304 323 374 418 484 646 748 836 968 1292 1496 1672 1936 2057 2299 2584 2992 3344 3553 4114 4598 5168 7106 8228 9196 14212 16456 18392 28424 32912 36784 39083 56848 78166 156332 312664 625328