Search a number
-
+
85514744 = 23719179449
BaseRepresentation
bin1010001100011…
…01100111111000
312221220121011202
411012031213320
5133342432434
612252513332
72055602060
oct506154770
9187817152
1085514744
11442a8547
122477b848
1314941553
14b5003a0
157792a7e
hex518d9f8

85514744 has 64 divisors (see below), whose sum is σ = 194400000. Its totient is φ = 34449408.

The previous prime is 85514731. The next prime is 85514789. The reversal of 85514744 is 44741558.

It is a super-3 number, since 3×855147443 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 85514698 and 85514707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190232 + ... + 190680.

It is an arithmetic number, because the mean of its divisors is an integer number (3037500).

Almost surely, 285514744 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 85514744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200000).

85514744 is an abundant number, since it is smaller than the sum of its proper divisors (108885256).

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

85514744 is a wasteful number, since it uses less digits than its factorization.

85514744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its digits is 89600, while the sum is 38.

The square root of 85514744 is about 9247.4182342965. The cubic root of 85514744 is about 440.5687273777.

The spelling of 85514744 in words is "eighty-five million, five hundred fourteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 179 266 358 449 532 716 898 1064 1253 1432 1796 2506 3143 3401 3592 5012 6286 6802 8531 10024 12572 13604 17062 23807 25144 27208 34124 47614 59717 68248 80371 95228 119434 160742 190456 238868 321484 477736 562597 642968 1125194 1527049 2250388 3054098 4500776 6108196 10689343 12216392 21378686 42757372 85514744