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3625072 = 241143479
BaseRepresentation
bin1101110101000001110000
320211011122221
431311001300
51412000242
6205410424
742545503
oct15650160
96734587
103625072
112056630
121269a14
1399c019
146a513a
154b9167
hex375070

3625072 has 40 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 1606080.

The previous prime is 3625051. The next prime is 3625079. The reversal of 3625072 is 2705263.

It is a super-2 number, since 2×36250722 = 26282294010368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625079) 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, 7329 + ... + 7807.

It is an arithmetic number, because the mean of its divisors is an integer number (196416).

Almost surely, 23625072 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 3625072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

3625072 is an abundant number, since it is smaller than the sum of its proper divisors (4231568).

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

3625072 is a wasteful number, since it uses less digits than its factorization.

3625072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 3625072 is about 1903.9621844984. The cubic root of 3625072 is about 153.6168583204.

The spelling of 3625072 in words is "three million, six hundred twenty-five thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 479 688 946 958 1892 1916 3784 3832 5269 7568 7664 10538 20597 21076 41194 42152 82388 84304 164776 226567 329552 453134 906268 1812536 3625072