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914942112 = 253721929353
BaseRepresentation
bin110110100010001…
…110100010100000
32100202121212121220
4312202032202200
53333211121422
6230442215040
731446610500
oct6642164240
92322555556
10914942112
1142a508607
122164b4480
13117728886
1489729a00
15554cde5c
hex3688e8a0

914942112 has 288 divisors, whose sum is σ = 3050913600. Its totient is φ = 238436352.

The previous prime is 914942081. The next prime is 914942123. The reversal of 914942112 is 211249419.

It is a super-2 number, since 2×9149421122 = 1674238136622041088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2591728 + ... + 2592080.

It is an arithmetic number, because the mean of its divisors is an integer number (10593450).

Almost surely, 2914942112 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 914942112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525456800).

914942112 is an abundant number, since it is smaller than the sum of its proper divisors (2135971488).

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

914942112 is a wasteful number, since it uses less digits than its factorization.

914942112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 914942112 is about 30248.0100502496. The cubic root of 914942112 is about 970.8032146825.

The spelling of 914942112 in words is "nine hundred fourteen million, nine hundred forty-two thousand, one hundred twelve".