Search a number
-
+
85724176 = 2431401431
BaseRepresentation
bin1010001110000…
…00110000010000
312222022020110111
411013000300100
5133421133201
612301211104
72060433466
oct507006020
9188266414
1085724176
114443092a
1224860a94
13149b5985
14b556836
1577d4b51
hex51c0c10

85724176 has 40 divisors (see below), whose sum is σ = 172274688. Its totient is φ = 41280000.

The previous prime is 85724167. The next prime is 85724201. The reversal of 85724176 is 67142758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198681 + ... + 199111.

Almost surely, 285724176 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 85724176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86137344).

85724176 is an abundant number, since it is smaller than the sum of its proper divisors (86550512).

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

85724176 is a wasteful number, since it uses less digits than its factorization.

85724176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 85724176 is about 9258.7351187946. The cubic root of 85724176 is about 440.9280960783.

The spelling of 85724176 in words is "eighty-five million, seven hundred twenty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 31 62 124 248 401 431 496 802 862 1604 1724 3208 3448 6416 6896 12431 13361 24862 26722 49724 53444 99448 106888 172831 198896 213776 345662 691324 1382648 2765296 5357761 10715522 21431044 42862088 85724176