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985264 = 24719463
BaseRepresentation
bin11110000100010110000
31212001112021
43300202300
5223012024
633041224
711242330
oct3604260
91761467
10985264
11613275
123b6214
132865c7
141b90c0
15146de4
hexf08b0

985264 has 40 divisors (see below), whose sum is σ = 2301440. Its totient is φ = 399168.

The previous prime is 985253. The next prime is 985277. The reversal of 985264 is 462589.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1897 + ... + 2359.

It is an arithmetic number, because the mean of its divisors is an integer number (57536).

2985264 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 985264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150720).

985264 is an abundant number, since it is smaller than the sum of its proper divisors (1316176).

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

985264 is a wasteful number, since it uses less digits than its factorization.

985264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 985264 is about 992.6046544320. The cubic root of 985264 is about 99.5063672768.

It can be divided in two parts, 9 and 85264, that multiplied together give a square (767376 = 8762).

The spelling of 985264 in words is "nine hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 463 532 926 1064 1852 2128 3241 3704 6482 7408 8797 12964 17594 25928 35188 51856 61579 70376 123158 140752 246316 492632 985264