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85373118 = 23219594231
BaseRepresentation
bin1010001011010…
…11000010111110
312221122101220100
411011223002332
5133323414433
612245501530
72054442135
oct505530276
9187571810
1085373118
11442110a6
12247118a6
13148c1c4c
14b4a491c
157765b13
hex516b0be

85373118 has 48 divisors (see below), whose sum is σ = 198057600. Its totient is φ = 26496720.

The previous prime is 85373081. The next prime is 85373143. The reversal of 85373118 is 81137358.

85373118 is a `hidden beast` number, since 8 + 537 + 3 + 118 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18063 + ... + 22293.

It is an arithmetic number, because the mean of its divisors is an integer number (4126200).

Almost surely, 285373118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85373118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99028800).

85373118 is an abundant number, since it is smaller than the sum of its proper divisors (112684482).

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

85373118 is a wasteful number, since it uses less digits than its factorization.

85373118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4314 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 85373118 is about 9239.7574643494. The cubic root of 85373118 is about 440.3253757197.

It can be divided in two parts, 85373 and 118, that added together give a triangular number (85491 = T413).

The spelling of 85373118 in words is "eighty-five million, three hundred seventy-three thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 19 38 57 59 114 118 171 177 342 354 531 1062 1121 2242 3363 4231 6726 8462 10089 12693 20178 25386 38079 76158 80389 160778 241167 249629 482334 499258 723501 748887 1447002 1497774 2246661 4493322 4742951 9485902 14228853 28457706 42686559 85373118