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67825080 = 2333562801
BaseRepresentation
bin1000000101011…
…10110110111000
311201121212112000
410002232312320
5114330400310
610421421000
71452334521
oct402566670
9151555460
1067825080
1135315a94
121a86a760
13110898ab
149017848
155e4b4c0
hex40aedb8

67825080 has 64 divisors (see below), whose sum is σ = 226087200. Its totient is φ = 18086400.

The previous prime is 67825073. The next prime is 67825081. The reversal of 67825080 is 8052876.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67825081) 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 15 ways as a sum of consecutive naturals, for example, 30321 + ... + 32480.

Almost surely, 267825080 is an apocalyptic number.

67825080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67825080 is an abundant number, since it is smaller than the sum of its proper divisors (158262120).

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

67825080 is a wasteful number, since it uses less digits than its factorization.

67825080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62821 (or 62811 counting only the distinct ones).

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

The square root of 67825080 is about 8235.5983389187. The cubic root of 67825080 is about 407.8152277529.

The spelling of 67825080 in words is "sixty-seven million, eight hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 62801 125602 188403 251204 314005 376806 502408 565209 628010 753612 942015 1130418 1256020 1507224 1695627 1884030 2260836 2512040 2826045 3391254 3768060 4521672 5652090 6782508 7536120 8478135 11304180 13565016 16956270 22608360 33912540 67825080