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85225488 = 243171923239
BaseRepresentation
bin1010001010001…
…11000000010000
312221100220101120
411011013000100
5133304203423
612242402240
72053255545
oct505070020
9187326346
1085225488
1144120197
1224660380
131486c9aa
14b466bcc
157736ee3
hex5147010

85225488 has 160 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 24127488.

The previous prime is 85225463. The next prime is 85225493. The reversal of 85225488 is 88452258.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 356473 + ... + 356711.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 285225488 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 85225488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

85225488 is an abundant number, since it is smaller than the sum of its proper divisors (171900912).

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

85225488 is a wasteful number, since it uses less digits than its factorization.

85225488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its digits is 204800, while the sum is 42.

The square root of 85225488 is about 9231.7651616579. The cubic root of 85225488 is about 440.0714209132.

The spelling of 85225488 in words is "eighty-five million, two hundred twenty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 23 24 34 38 46 48 51 57 68 69 76 92 102 114 136 138 152 184 204 228 239 272 276 304 323 368 391 408 437 456 478 552 646 717 782 816 874 912 956 969 1104 1173 1292 1311 1434 1564 1748 1912 1938 2346 2584 2622 2868 3128 3496 3824 3876 4063 4541 4692 5168 5244 5497 5736 6256 6992 7429 7752 8126 9082 9384 10488 10994 11472 12189 13623 14858 15504 16252 16491 18164 18768 20976 21988 22287 24378 27246 29716 32504 32982 36328 43976 44574 48756 54492 59432 65008 65964 72656 77197 87952 89148 93449 97512 104443 108984 118864 131928 154394 178296 186898 195024 208886 217968 231591 263856 280347 308788 313329 356592 373796 417772 463182 560694 617576 626658 747592 835544 926364 1121388 1235152 1253316 1495184 1671088 1775531 1852728 2242776 2506632 3551062 3705456 4485552 5013264 5326593 7102124 10653186 14204248 21306372 28408496 42612744 85225488