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7241625 = 325341157
BaseRepresentation
bin11011100111111110011001
3111121220122100
4123213332121
53323213000
6415114013
7115360416
oct33477631
914556570
107241625
1140a6816
122512909
1316671b1
14d6710d
15980a00
hex6e7f99

7241625 has 48 divisors (see below), whose sum is σ = 13457808. Its totient is φ = 3744000.

The previous prime is 7241623. The next prime is 7241627. The reversal of 7241625 is 5261427.

It is an interprime number because it is at equal distance from previous prime (7241623) and next prime (7241627).

It can be written as a sum of positive squares in 8 ways, for example, as 5089536 + 2152089 = 2256^2 + 1467^2 .

It is not a de Polignac number, because 7241625 - 21 = 7241623 is a prime.

It is a super-2 number, since 2×72416252 = 104882265281250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7241623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46047 + ... + 46203.

It is an arithmetic number, because the mean of its divisors is an integer number (280371).

Almost surely, 27241625 is an apocalyptic number.

7241625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7241625 is a deficient number, since it is larger than the sum of its proper divisors (6216183).

7241625 is a wasteful number, since it uses less digits than its factorization.

7241625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 7241625 is about 2691.0267557198. The cubic root of 7241625 is about 193.4692778178.

The spelling of 7241625 in words is "seven million, two hundred forty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 125 157 205 225 369 375 471 615 785 1025 1125 1413 1845 2355 3075 3925 5125 6437 7065 9225 11775 15375 19311 19625 32185 35325 46125 57933 58875 96555 160925 176625 289665 482775 804625 1448325 2413875 7241625