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85450728 = 23311674831
BaseRepresentation
bin1010001011111…
…01111111101000
312221210100100210
411011331333220
5133333410403
612251301120
72055214326
oct505757750
9187710323
1085450728
1144264440
122474a7a0
131491b37c
14b4c4d16
15777db03
hex517dfe8

85450728 has 64 divisors (see below), whose sum is σ = 236574720. Its totient is φ = 25502400.

The previous prime is 85450711. The next prime is 85450751. The reversal of 85450728 is 82705458.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15273 + ... + 20103.

It is an arithmetic number, because the mean of its divisors is an integer number (3696480).

Almost surely, 285450728 is an apocalyptic number.

85450728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85450728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118287360).

85450728 is an abundant number, since it is smaller than the sum of its proper divisors (151123992).

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

85450728 is a wasteful number, since it uses less digits than its factorization.

85450728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 85450728 is about 9243.9562958725. The cubic root of 85450728 is about 440.4587639299.

The spelling of 85450728 in words is "eighty-five million, four hundred fifty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 4422 4831 5896 8844 9662 14493 17688 19324 28986 38648 53141 57972 106282 115944 159423 212564 318846 323677 425128 637692 647354 971031 1275384 1294708 1942062 2589416 3560447 3884124 7120894 7768248 10681341 14241788 21362682 28483576 42725364 85450728