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85714928 = 24131923241
BaseRepresentation
bin1010001101111…
…10011111110000
312222021202202222
411012332133300
5133420334203
612301100212
72060364515
oct506763760
9188252688
1085714928
1144424992
1224857668
13149b16c0
14b55330c
1577d2038
hex51be7f0

85714928 has 120 divisors (see below), whose sum is σ = 201601680. Its totient is φ = 34974720.

The previous prime is 85714927. The next prime is 85714933. The reversal of 85714928 is 82941758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85714927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2090588 + ... + 2090628.

It is an arithmetic number, because the mean of its divisors is an integer number (1680014).

Almost surely, 285714928 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 85714928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800840).

85714928 is an abundant number, since it is smaller than the sum of its proper divisors (115886752).

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

85714928 is a wasteful number, since it uses less digits than its factorization.

85714928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its digits is 161280, while the sum is 44.

The square root of 85714928 is about 9258.2356850536. The cubic root of 85714928 is about 440.9122396037.

The spelling of 85714928 in words is "eighty-five million, seven hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 23 26 38 41 46 52 76 82 92 104 152 164 184 208 247 299 304 328 368 437 494 529 533 598 656 779 874 943 988 1058 1066 1196 1558 1748 1886 1976 2116 2132 2392 3116 3496 3772 3952 4232 4264 4784 5681 6232 6877 6992 7544 8464 8528 10051 10127 11362 12259 12464 13754 15088 17917 20102 20254 21689 22724 24518 27508 35834 40204 40508 43378 45448 49036 55016 71668 80408 81016 86756 90896 98072 110032 130663 143336 160816 162032 173512 196144 232921 261326 281957 286672 347024 412091 465842 522652 563914 824182 931684 1045304 1127828 1648364 1863368 2090608 2255656 3296728 3726736 4511312 5357183 6593456 10714366 21428732 42857464 85714928