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85125390 = 2357457887
BaseRepresentation
bin1010001001011…
…10100100001110
312221011211002020
411010232210032
5133243003030
612240311010
72052360660
oct504564416
9187154066
1085125390
1144061a69
1224612466
131483626c
14b43c530
157717510
hex512e90e

85125390 has 64 divisors (see below), whose sum is σ = 234261504. Its totient is φ = 19392768.

The previous prime is 85125371. The next prime is 85125421. The reversal of 85125390 is 9352158.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95527 + ... + 96413.

It is an arithmetic number, because the mean of its divisors is an integer number (3660336).

Almost surely, 285125390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85125390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117130752).

85125390 is an abundant number, since it is smaller than the sum of its proper divisors (149136114).

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

85125390 is a wasteful number, since it uses less digits than its factorization.

85125390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 85125390 is about 9226.3421787835. The cubic root of 85125390 is about 439.8990643128.

The spelling of 85125390 in words is "eighty-five million, one hundred twenty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 457 887 914 1371 1774 2285 2661 2742 3199 4435 4570 5322 6209 6398 6855 8870 9597 12418 13305 13710 15995 18627 19194 26610 31045 31990 37254 47985 62090 93135 95970 186270 405359 810718 1216077 2026795 2432154 2837513 4053590 5675026 6080385 8512539 12160770 14187565 17025078 28375130 42562695 85125390