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942868416 = 263717291423
BaseRepresentation
bin111000001100110…
…000011111000000
32102201011200022110
4320030300133000
53412333242131
6233320535320
732236151340
oct7014603700
92381150273
10942868416
11444251aa6
12223921540
13120455a09
148d318d20
1557b98646
hex383307c0

942868416 has 224 divisors, whose sum is σ = 3125053440. Its totient is φ = 244629504.

The previous prime is 942868411. The next prime is 942868429. The reversal of 942868416 is 614868249.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942868411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661881 + ... + 663303.

Almost surely, 2942868416 is an apocalyptic number.

942868416 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 942868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562526720).

942868416 is an abundant number, since it is smaller than the sum of its proper divisors (2182185024).

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

942868416 is a wasteful number, since it uses less digits than its factorization.

942868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1481 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 942868416 is about 30706.1625085259. The cubic root of 942868416 is about 980.5815013399.

The spelling of 942868416 in words is "nine hundred forty-two million, eight hundred sixty-eight thousand, four hundred sixteen".