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3625472 = 297397
BaseRepresentation
bin1101110101001000000000
320211012012202
431311020000
51412003342
6205412332
742546614
oct15651000
96735182
103625472
112056964
12126a0a8
1399c266
146a5344
154b9332
hex375200

3625472 has 40 divisors (see below), whose sum is σ = 7418796. Its totient is φ = 1769472.

The previous prime is 3625429. The next prime is 3625477. The reversal of 3625472 is 2745263.

3625472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3625216 + 256 = 1904^2 + 16^2 .

It is not an unprimeable number, because it can be changed into a prime (3625477) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37328 + ... + 37424.

Almost surely, 23625472 is an apocalyptic number.

3625472 is a gapful number since it is divisible by the number (32) 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 3625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709398).

3625472 is an abundant number, since it is smaller than the sum of its proper divisors (3793324).

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

3625472 is an frugal number, since it uses more digits than its factorization.

3625472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 3625472 is about 1904.0672257040. The cubic root of 3625472 is about 153.6225082756.

The spelling of 3625472 in words is "three million, six hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 73 97 128 146 194 256 292 388 512 584 776 1168 1552 2336 3104 4672 6208 7081 9344 12416 14162 18688 24832 28324 37376 49664 56648 113296 226592 453184 906368 1812736 3625472