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85292040 = 23354491583
BaseRepresentation
bin1010001010101…
…11010000001000
312221111021200110
411011113100020
5133313321130
612244034320
72053653561
oct505272010
9187437613
1085292040
1144166199
12246929a0
1314894082
14b483168
15774bab0
hex5157408

85292040 has 64 divisors (see below), whose sum is σ = 256608000. Its totient is φ = 22679552.

The previous prime is 85292033. The next prime is 85292063. The reversal of 85292040 is 4029258.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 85291989 and 85292007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53089 + ... + 54671.

It is an arithmetic number, because the mean of its divisors is an integer number (4009500).

Almost surely, 285292040 is an apocalyptic number.

It is an amenable number.

85292040 is an abundant number, since it is smaller than the sum of its proper divisors (171315960).

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

85292040 is a wasteful number, since it uses less digits than its factorization.

85292040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 85292040 is about 9235.3689693482. The cubic root of 85292040 is about 440.1859406955.

The spelling of 85292040 in words is "eighty-five million, two hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 449 898 1347 1583 1796 2245 2694 3166 3592 4490 4749 5388 6332 6735 7915 8980 9498 10776 12664 13470 15830 17960 18996 23745 26940 31660 37992 47490 53880 63320 94980 189960 710767 1421534 2132301 2843068 3553835 4264602 5686136 7107670 8529204 10661505 14215340 17058408 21323010 28430680 42646020 85292040