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168948325 = 5272131032
BaseRepresentation
bin10100001000111…
…11001001100101
3102202220110112101
422010133021211
5321222321300
624433052101
74121015500
oct1204371145
9382813471
10168948325
1187404417
12486b7031
1329004730
141861c137
15ec73b6a
hexa11f265

168948325 has 54 divisors (see below), whose sum is σ = 265018194. Its totient is φ = 105900480.

The previous prime is 168948301. The next prime is 168948337. The reversal of 168948325 is 523849861.

It can be written as a sum of positive squares in 3 ways, for example, as 519841 + 168428484 = 721^2 + 12978^2 .

It is not a de Polignac number, because 168948325 - 25 = 168948293 is a prime.

Its product of digits (414720) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1640224 + ... + 1640326.

Almost surely, 2168948325 is an apocalyptic number.

It is an amenable number.

168948325 is a deficient number, since it is larger than the sum of its proper divisors (96069869).

168948325 is a wasteful number, since it uses less digits than its factorization.

168948325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 128 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 168948325 is about 12998.0123480477. The cubic root of 168948325 is about 552.8211246494.

It can be divided in two parts, 168948 and 325, that multiplied together give a square (54908100 = 74102).

The spelling of 168948325 in words is "one hundred sixty-eight million, nine hundred forty-eight thousand, three hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 103 175 245 325 455 515 637 721 1225 1339 2275 2575 3185 3605 5047 6695 9373 10609 15925 18025 25235 33475 46865 53045 65611 74263 126175 137917 234325 265225 328055 371315 519841 689585 965419 1640275 1856575 2599205 3447925 4827095 6757933 12996025 24135475 33789665 168948325