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1942249920 = 263513198191
BaseRepresentation
bin111001111000100…
…0110000111000000
312000100200112000020
41303301012013000
512434203444140
6520421053440
766062565132
oct16361060700
95010615006
101942249920
11907393126
12462557280
1324c507510
14145d45052
15b57a66d0
hex73c461c0

1942249920 has 224 divisors, whose sum is σ = 6991380480. Its totient is φ = 452874240.

The previous prime is 1942249889. The next prime is 1942249979. The reversal of 1942249920 is 299422491.

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 31 ways as a sum of consecutive naturals, for example, 233025 + ... + 241215.

It is an arithmetic number, because the mean of its divisors is an integer number (31211520).

Almost surely, 21942249920 is an apocalyptic number.

1942249920 is a gapful number since it is divisible by the number (10) 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 1942249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495690240).

1942249920 is an abundant number, since it is smaller than the sum of its proper divisors (5049130560).

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

1942249920 is a wasteful number, since it uses less digits than its factorization.

1942249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1942249920 is about 44070.9645912136. The cubic root of 1942249920 is about 1247.6756635804.

The spelling of 1942249920 in words is "one billion, nine hundred forty-two million, two hundred forty-nine thousand, nine hundred twenty".