Search a number
-
+
85474728 = 23328314303
BaseRepresentation
bin1010001100000…
…11110110101000
312221211120021200
411012003312220
5133340142403
612252004200
72055344313
oct506036650
9187746250
1085474728
1144280479
1224760660
1314929281
14b4cd97a
157785ca3
hex5183da8

85474728 has 48 divisors (see below), whose sum is σ = 234299520. Its totient is φ = 28146336.

The previous prime is 85474681. The next prime is 85474729. The reversal of 85474728 is 82747458.

It is not an unprimeable number, because it can be changed into a prime (85474729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1176 + ... + 13127.

It is an arithmetic number, because the mean of its divisors is an integer number (4881240).

Almost surely, 285474728 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 85474728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117149760).

85474728 is an abundant number, since it is smaller than the sum of its proper divisors (148824792).

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

85474728 is a wasteful number, since it uses less digits than its factorization.

85474728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14398 (or 14391 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 85474728 is about 9245.2543502058. The cubic root of 85474728 is about 440.4999963496.

The spelling of 85474728 in words is "eighty-five million, four hundred seventy-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 14303 28606 42909 57212 85818 114424 128727 171636 257454 343272 514908 1029816 1187149 2374298 3561447 4748596 7122894 9497192 10684341 14245788 21368682 28491576 42737364 85474728