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85897098 = 235723607
BaseRepresentation
bin1010001111010…
…10111110001010
312222122000200000
411013222332022
5133442201343
612305023430
72062053600
oct507527612
9188560600
1085897098
1144539841
1224924b76
1314a465b1
14b59d870
15781aed3
hex51eaf8a

85897098 has 72 divisors (see below), whose sum is σ = 224576352. Its totient is φ = 24535224.

The previous prime is 85897087. The next prime is 85897103. The reversal of 85897098 is 89079858.

It is a super-2 number, since 2×858970982 = 14756622889643208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22011 + ... + 25617.

It is an arithmetic number, because the mean of its divisors is an integer number (3119116).

Almost surely, 285897098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85897098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112288176).

85897098 is an abundant number, since it is smaller than the sum of its proper divisors (138679254).

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

85897098 is a wasteful number, since it uses less digits than its factorization.

85897098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 85897098 is about 9268.0687308630. The cubic root of 85897098 is about 441.2243756169.

The spelling of 85897098 in words is "eighty-five million, eight hundred ninety-seven thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1701 2646 3402 3607 3969 7214 7938 10821 11907 21642 23814 25249 32463 50498 64926 75747 97389 151494 176743 194778 227241 292167 353486 454482 530229 584334 681723 876501 1060458 1363446 1590687 1753002 2045169 3181374 4090338 4772061 6135507 9544122 12271014 14316183 28632366 42948549 85897098