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85308280 = 2353189773
BaseRepresentation
bin1010001010110…
…11001101111000
312221112002221221
411011123031320
5133314331110
612244241424
72054052121
oct505331570
9187462857
1085308280
1144177412
12246a0274
131489b595
14b489048
1577517da
hex515b378

85308280 has 64 divisors (see below), whose sum is σ = 200620800. Its totient is φ = 32609280.

The previous prime is 85308269. The next prime is 85308287. The reversal of 85308280 is 8280358.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85308287) 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, 109974 + ... + 110746.

It is an arithmetic number, because the mean of its divisors is an integer number (3134700).

Almost surely, 285308280 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 85308280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100310400).

85308280 is an abundant number, since it is smaller than the sum of its proper divisors (115312520).

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

85308280 is a wasteful number, since it uses less digits than its factorization.

85308280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 85308280 is about 9236.2481560426. The cubic root of 85308280 is about 440.2138767375.

The spelling of 85308280 in words is "eighty-five million, three hundred eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 89 124 155 178 248 310 356 445 620 712 773 890 1240 1546 1780 2759 3092 3560 3865 5518 6184 7730 11036 13795 15460 22072 23963 27590 30920 47926 55180 68797 95852 110360 119815 137594 191704 239630 275188 343985 479260 550376 687970 958520 1375940 2132707 2751880 4265414 8530828 10663535 17061656 21327070 42654140 85308280