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85492792 = 2371133137
BaseRepresentation
bin1010001100010…
…00010000111000
312221212111001201
411012020100320
5133341232132
612252223544
72055451060
oct506102070
9187774051
1085492792
1144293000
122476abb4
1314934568
14b4d63a0
15778b2e7
hex5188438

85492792 has 128 divisors (see below), whose sum is σ = 213626880. Its totient is φ = 31363200.

The previous prime is 85492751. The next prime is 85492807. The reversal of 85492792 is 29729458.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 85492792 = 1873 + 4293 = 2863 + 3963.

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, 2310598 + ... + 2310634.

It is an arithmetic number, because the mean of its divisors is an integer number (1668960).

Almost surely, 285492792 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 85492792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106813440).

85492792 is an abundant number, since it is smaller than the sum of its proper divisors (128134088).

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

85492792 is a wasteful number, since it uses less digits than its factorization.

85492792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 85492792 is about 9246.2312322373. The cubic root of 85492792 is about 440.5310255268.

The spelling of 85492792 in words is "eighty-five million, four hundred ninety-two thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 37 44 56 62 74 77 88 121 124 148 154 217 242 248 259 296 308 341 407 434 484 518 616 682 814 847 868 968 1036 1147 1331 1364 1628 1694 1736 2072 2294 2387 2662 2728 2849 3256 3388 3751 4477 4588 4774 5324 5698 6776 7502 8029 8954 9176 9317 9548 10648 11396 12617 15004 16058 17908 18634 19096 22792 25234 26257 30008 31339 32116 35816 37268 41261 49247 50468 52514 62678 64232 74536 82522 88319 98494 100936 105028 125356 138787 165044 176638 196988 210056 250712 277574 288827 330088 344729 353276 393976 555148 577654 689458 706552 971509 1110296 1155308 1378916 1526657 1943018 2310616 2757832 3053314 3886036 6106628 7772072 10686599 12213256 21373198 42746396 85492792