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85489992 = 2334747401
BaseRepresentation
bin1010001100001…
…11100101001000
312221212100020000
411012013211020
5133341134432
612252203000
72055436650
oct506074510
9187770200
1085489992
1144290995
1224769460
13149331c3
14b4d5360
15778a57c
hex5187948

85489992 has 160 divisors (see below), whose sum is σ = 280177920. Its totient is φ = 23846400.

The previous prime is 85489981. The next prime is 85490021. The reversal of 85489992 is 29998458.

85489992 is a `hidden beast` number, since 8 + 548 + 9 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 212992 + ... + 213392.

It is an arithmetic number, because the mean of its divisors is an integer number (1751112).

Almost surely, 285489992 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 85489992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140088960).

85489992 is an abundant number, since it is smaller than the sum of its proper divisors (194687928).

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

85489992 is a wasteful number, since it uses less digits than its factorization.

85489992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 85489992 is about 9246.0798179553. The cubic root of 85489992 is about 440.5262161531.

The spelling of 85489992 in words is "eighty-five million, four hundred eighty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 81 84 94 108 126 141 162 168 188 189 216 252 282 324 329 376 378 401 423 504 564 567 648 658 756 802 846 987 1128 1134 1203 1269 1316 1512 1604 1692 1974 2268 2406 2538 2632 2807 2961 3208 3384 3609 3807 3948 4536 4812 5076 5614 5922 7218 7614 7896 8421 8883 9624 10152 10827 11228 11844 14436 15228 16842 17766 18847 21654 22456 23688 25263 26649 28872 30456 32481 33684 35532 37694 43308 50526 53298 56541 64962 67368 71064 75388 75789 86616 101052 106596 113082 129924 131929 150776 151578 169623 202104 213192 226164 227367 259848 263858 303156 339246 395787 452328 454734 508869 527716 606312 678492 791574 909468 1017738 1055432 1187361 1356984 1526607 1583148 1818936 2035476 2374722 3053214 3166296 3562083 4070952 4749444 6106428 7124166 9498888 10686249 12212856 14248332 21372498 28496664 42744996 85489992