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85148988 = 223172937389
BaseRepresentation
bin1010001001101…
…00010100111100
312221020000110020
411010310110330
5133244231423
612241012140
72052516531
oct504642474
9187200406
1085148988
1144078771
1224624050
1314843c22
14b446d88
15771e4e3
hex513453c

85148988 has 96 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 25030656.

The previous prime is 85148963. The next prime is 85149041. The reversal of 85148988 is 88984158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 85148988.

It is a congruent number.

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, 218698 + ... + 219086.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 285148988 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 85148988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

85148988 is an abundant number, since it is smaller than the sum of its proper divisors (138929412).

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

85148988 is a wasteful number, since it uses less digits than its factorization.

85148988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its digits is 737280, while the sum is 51.

The square root of 85148988 is about 9227.6209284951. The cubic root of 85148988 is about 439.9397093700.

The spelling of 85148988 in words is "eighty-five million, one hundred forty-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 29 34 37 51 58 68 74 87 102 111 116 148 174 204 222 348 389 444 493 629 778 986 1073 1167 1258 1479 1556 1887 1972 2146 2334 2516 2958 3219 3774 4292 4668 5916 6438 6613 7548 11281 12876 13226 14393 18241 19839 22562 26452 28786 33843 36482 39678 43179 45124 54723 57572 67686 72964 79356 86358 109446 135372 172716 191777 218892 244681 383554 417397 489362 575331 734043 767108 834794 978724 1150662 1252191 1468086 1669588 2301324 2504382 2936172 5008764 7095749 14191498 21287247 28382996 42574494 85148988