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85235500 = 22537471
BaseRepresentation
bin1010001010010…
…01011100101100
312221101102010101
411011021130230
5133310014000
612242520444
72053330000
oct505113454
9187342111
1085235500
1144127769
1224666124
131487440c
14b46a700
157739e6a
hex514972c

85235500 has 120 divisors (see below), whose sum is σ = 220225824. Its totient is φ = 28812000.

The previous prime is 85235497. The next prime is 85235519. The reversal of 85235500 is 553258.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1200465 + ... + 1200535.

Almost surely, 285235500 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 85235500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110112912).

85235500 is an abundant number, since it is smaller than the sum of its proper divisors (134990324).

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

85235500 is an equidigital number, since it uses as much as digits as its factorization.

85235500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 85235500 is about 9232.3074038942. The cubic root of 85235500 is about 440.0886529356.

Adding to 85235500 its reverse (553258), we get a palindrome (85788758).

The spelling of 85235500 in words is "eighty-five million, two hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 71 98 100 125 140 142 175 196 245 250 284 343 350 355 490 497 500 686 700 710 875 980 994 1225 1372 1420 1715 1750 1775 1988 2401 2450 2485 3430 3479 3500 3550 4802 4900 4970 6125 6860 6958 7100 8575 8875 9604 9940 12005 12250 12425 13916 17150 17395 17750 24010 24353 24500 24850 34300 34790 35500 42875 48020 48706 49700 60025 62125 69580 85750 86975 97412 120050 121765 124250 170471 171500 173950 240100 243530 248500 300125 340942 347900 434875 487060 600250 608825 681884 852355 869750 1200500 1217650 1704710 1739500 2435300 3044125 3409420 4261775 6088250 8523550 12176500 17047100 21308875 42617750 85235500