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85474692 = 22321926577
BaseRepresentation
bin1010001100000…
…11110110000100
312221211120020100
411012003312010
5133340142232
612252004100
72055344232
oct506036604
9187746210
1085474692
1144280446
1224760630
1314929254
14b4cd952
157785c7c
hex5183d84

85474692 has 54 divisors (see below), whose sum is σ = 228065838. Its totient is φ = 26987904.

The previous prime is 85474681. The next prime is 85474729. The reversal of 85474692 is 29647458.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 85266756 + 207936 = 9234^2 + 456^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9708 + ... + 16284.

Almost surely, 285474692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85474692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114032919).

85474692 is an abundant number, since it is smaller than the sum of its proper divisors (142591146).

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

85474692 is a wasteful number, since it uses less digits than its factorization.

85474692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6601 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 85474692 is about 9245.2524032608. The cubic root of 85474692 is about 440.4999345067.

The spelling of 85474692 in words is "eighty-five million, four hundred seventy-four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 6577 12996 13154 19731 26308 39462 59193 78924 118386 124963 236772 249926 374889 499852 749778 1124667 1499556 2249334 2374297 4498668 4748594 7122891 9497188 14245782 21368673 28491564 42737346 85474692