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68807025 = 325272792
BaseRepresentation
bin1000001100111…
…10100101110001
311210110202111100
410012132211301
5120103311100
610454435013
71463564400
oct406364561
9153422440
1068807025
1135926811
121b062a69
1311341821
1491d1637
156092400
hex419e971

68807025 has 81 divisors (see below), whose sum is σ = 145199691. Its totient is φ = 31056480.

The previous prime is 68806993. The next prime is 68807029. The reversal of 68807025 is 52070886.

The square root of 68807025 is 8295.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24770529 + 44036496 = 4977^2 + 6636^2 .

It is not a de Polignac number, because 68807025 - 25 = 68806993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68807029) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 870936 + ... + 871014.

Almost surely, 268807025 is an apocalyptic number.

68807025 is the 8295-th square number.

68807025 is the 4148-th centered octagonal number.

It is an amenable number.

68807025 is an abundant number, since it is smaller than the sum of its proper divisors (76392666).

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

68807025 is a wasteful number, since it uses less digits than its factorization.

68807025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 68807025 is about 409.7738689574.

Multiplying 68807025 by its sum of digits (36), we get a square (2477052900 = 497702).

The spelling of 68807025 in words is "sixty-eight million, eight hundred seven thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 79 105 147 175 225 237 245 315 395 441 525 553 711 735 1185 1225 1575 1659 1975 2205 2765 3555 3675 3871 4977 5925 6241 8295 11025 11613 13825 17775 18723 19355 24885 31205 34839 41475 43687 56169 58065 93615 96775 124425 131061 156025 174195 218435 280845 290325 305809 393183 468075 655305 870975 917427 1092175 1404225 1529045 1965915 2752281 3276525 4587135 7645225 9829575 13761405 22935675 68807025