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42999264 = 25327211277
BaseRepresentation
bin1010010000000…
…1110111100000
32222220120220100
42210001313200
542001434024
64133342400
71031326200
oct244016740
988816810
1042999264
11222a9a90
1212497a00
138ba6a69
1459d4400
153b957c9
hex2901de0

42999264 has 216 divisors, whose sum is σ = 155734488. Its totient is φ = 11128320.

The previous prime is 42999247. The next prime is 42999277. The reversal of 42999264 is 46299924.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155094 + ... + 155370.

It is an arithmetic number, because the mean of its divisors is an integer number (720993).

Almost surely, 242999264 is an apocalyptic number.

42999264 is a gapful number since it is divisible by the number (44) 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 42999264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77867244).

42999264 is an abundant number, since it is smaller than the sum of its proper divisors (112735224).

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

42999264 is a wasteful number, since it uses less digits than its factorization.

42999264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 42999264 is about 6557.3824045880. The cubic root of 42999264 is about 350.3378071893.

The spelling of 42999264 in words is "forty-two million, nine hundred ninety-nine thousand, two hundred sixty-four".