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292144072 = 23113319819
BaseRepresentation
bin10001011010011…
…100001111001000
3202100201110022211
4101122130033020
51044242102242
644553354504
710145116663
oct2132341710
9670643284
10292144072
1113a9a9190
1281a08a34
13486aa11c
142ab2a6da
151a9ab317
hex1169c3c8

292144072 has 16 divisors (see below), whose sum is σ = 597567600. Its totient is φ = 132792720.

The previous prime is 292144063. The next prime is 292144081. The reversal of 292144072 is 270441292.

292144072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (292144063) and next prime (292144081).

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 3 ways as a sum of consecutive naturals, for example, 1659822 + ... + 1659997.

It is an arithmetic number, because the mean of its divisors is an integer number (37347975).

Almost surely, 2292144072 is an apocalyptic number.

292144072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

292144072 is an abundant number, since it is smaller than the sum of its proper divisors (305423528).

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

292144072 is a wasteful number, since it uses less digits than its factorization.

292144072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319836 (or 3319832 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 292144072 is about 17092.2225588131. Note that the first 3 decimals coincide. The cubic root of 292144072 is about 663.5378370548.

The spelling of 292144072 in words is "two hundred ninety-two million, one hundred forty-four thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 3319819 6639638 13279276 26558552 36518009 73036018 146072036 292144072