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85192780 = 22517331757
BaseRepresentation
bin1010001001111…
…11000001001100
312221022020112011
411010333001030
5133302132110
612241551004
72053061311
oct504770114
9187266464
1085192780
11440a8662
1224645464
131485ab3a
14b458d08
15772c48a
hex513f04c

85192780 has 48 divisors (see below), whose sum is σ = 190251936. Its totient is φ = 31933440.

The previous prime is 85192769. The next prime is 85192781. The reversal of 85192780 is 8729158.

It is not an unprimeable number, because it can be changed into a prime (85192781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112162 + ... + 112918.

It is an arithmetic number, because the mean of its divisors is an integer number (3963582).

Almost surely, 285192780 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 85192780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95125968).

85192780 is an abundant number, since it is smaller than the sum of its proper divisors (105059156).

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

85192780 is a wasteful number, since it uses less digits than its factorization.

85192780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 85192780 is about 9229.9934994560. The cubic root of 85192780 is about 440.0151165605.

The spelling of 85192780 in words is "eighty-five million, one hundred ninety-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 331 340 662 757 1324 1514 1655 3028 3310 3785 5627 6620 7570 11254 12869 15140 22508 25738 28135 51476 56270 64345 112540 128690 250567 257380 501134 1002268 1252835 2505670 4259639 5011340 8519278 17038556 21298195 42596390 85192780