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942361056 = 253271341877
BaseRepresentation
bin111000001010110…
…100100111100000
32102200012220100100
4320022310213200
53412221023211
6233302022400
732231636220
oct7012644740
92380186310
10942361056
11443a3589a
12223717a00
13120308ac0
148d226080
1557ae8156
hex382b49e0

942361056 has 288 divisors, whose sum is σ = 3382561728. Its totient is φ = 242196480.

The previous prime is 942361027. The next prime is 942361067. The reversal of 942361056 is 650163249.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 942361056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074090 + ... + 1074966.

It is an arithmetic number, because the mean of its divisors is an integer number (11745006).

Almost surely, 2942361056 is an apocalyptic number.

942361056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 942361056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691280864).

942361056 is an abundant number, since it is smaller than the sum of its proper divisors (2440200672).

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

942361056 is a wasteful number, since it uses less digits than its factorization.

942361056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 942361056 is about 30697.8998630199. The cubic root of 942361056 is about 980.4055852787.

The spelling of 942361056 in words is "nine hundred forty-two million, three hundred sixty-one thousand, fifty-six".