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82472985 = 35579697
BaseRepresentation
bin1001110101001…
…11000000011001
312202012001200000
410322213000121
5132103113420
612103403213
72021003010
oct472470031
9182161600
1082472985
11426101a1
1223753509
1314117baa
14ad4ba77
157391690
hex4ea7019

82472985 has 48 divisors (see below), whose sum is σ = 169443456. Its totient is φ = 37698048.

The previous prime is 82472981. The next prime is 82472987. The reversal of 82472985 is 58927428.

It is not a de Polignac number, because 82472985 - 22 = 82472981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82472985.

It is not an unprimeable number, because it can be changed into a prime (82472981) 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, 3657 + ... + 13353.

It is an arithmetic number, because the mean of its divisors is an integer number (3530072).

Almost surely, 282472985 is an apocalyptic number.

It is an amenable number.

82472985 is an abundant number, since it is smaller than the sum of its proper divisors (86970471).

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

82472985 is an equidigital number, since it uses as much as digits as its factorization.

82472985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9724 (or 9712 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 82472985 is about 9081.4638137252. The cubic root of 82472985 is about 435.2818625093.

The spelling of 82472985 in words is "eighty-two million, four hundred seventy-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 1215 1701 2835 8505 9697 29091 48485 67879 87273 145455 203637 261819 339395 436365 610911 785457 1018185 1309095 1832733 2356371 3054555 3927285 5498199 9163665 11781855 16494597 27490995 82472985