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672525 = 32527261
BaseRepresentation
bin10100100001100001101
31021011112100
42210030031
5133010100
622225313
75500500
oct2441415
91234470
10672525
1141a307
12285239
131a7159
14137137
15d4400
hexa430d

672525 has 54 divisors (see below), whose sum is σ = 1424202. Its totient is φ = 302400.

The previous prime is 672521. The next prime is 672557. The reversal of 672525 is 525276.

672525 = 283 + 293 + ... + 423.

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 670761 = 42^2 + 819^2 .

It is not a de Polignac number, because 672525 - 22 = 672521 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

672525 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672521) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10995 + ... + 11055.

2672525 is an apocalyptic number.

It is an amenable number.

672525 is an abundant number, since it is smaller than the sum of its proper divisors (751677).

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

672525 is a wasteful number, since it uses less digits than its factorization.

672525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 672525 is about 820.0762159702. The cubic root of 672525 is about 87.6131868558.

The spelling of 672525 in words is "six hundred seventy-two thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 61 63 75 105 147 175 183 225 245 305 315 427 441 525 549 735 915 1225 1281 1525 1575 2135 2205 2745 2989 3675 3843 4575 6405 8967 10675 11025 13725 14945 19215 26901 32025 44835 74725 96075 134505 224175 672525