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942264 = 233223569
BaseRepresentation
bin11100110000010111000
31202212112200
43212002320
5220123024
632110200
711003061
oct3460270
91685480
10942264
11593a34
12395360
1326cb6b
141a7568
151392c9
hexe60b8

942264 has 48 divisors (see below), whose sum is σ = 2667600. Its totient is φ = 299904.

The previous prime is 942257. The next prime is 942269. The reversal of 942264 is 462249.

It is a super-2 number, since 2×9422642 = 1775722891392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942269) 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, 1372 + ... + 1940.

It is an arithmetic number, because the mean of its divisors is an integer number (55575).

2942264 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 942264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333800).

942264 is an abundant number, since it is smaller than the sum of its proper divisors (1725336).

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

942264 is a wasteful number, since it uses less digits than its factorization.

942264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 597 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 942264 is about 970.7028381539. The cubic root of 942264 is about 98.0371926024.

The spelling of 942264 in words is "nine hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 569 828 1138 1656 1707 2276 3414 4552 5121 6828 10242 13087 13656 20484 26174 39261 40968 52348 78522 104696 117783 157044 235566 314088 471132 942264