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85179330 = 2335389811
BaseRepresentation
bin1010001001110…
…11101111000010
312221021120002000
411010323233002
5133301214310
612241404430
72053004145
oct504735702
9187246060
1085179330
1144099545
1224639716
1314854992
14b45405c
1577284c0
hex513bbc2

85179330 has 64 divisors (see below), whose sum is σ = 228009600. Its totient is φ = 22628160.

The previous prime is 85179323. The next prime is 85179343. The reversal of 85179330 is 3397158.

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, 104625 + ... + 105435.

It is an arithmetic number, because the mean of its divisors is an integer number (3562650).

Almost surely, 285179330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85179330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114004800).

85179330 is an abundant number, since it is smaller than the sum of its proper divisors (142830270).

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

85179330 is a wasteful number, since it uses less digits than its factorization.

85179330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 85179330 is about 9229.2648677996. The cubic root of 85179330 is about 439.9919592195.

The spelling of 85179330 in words is "eighty-five million, one hundred seventy-nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 389 778 811 1167 1622 1945 2334 2433 3501 3890 4055 4866 5835 7002 7299 8110 10503 11670 12165 14598 17505 21006 21897 24330 35010 36495 43794 52515 72990 105030 109485 218970 315479 630958 946437 1577395 1892874 2839311 3154790 4732185 5678622 8517933 9464370 14196555 17035866 28393110 42589665 85179330