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57999942 = 233711132937
BaseRepresentation
bin1101110101000…
…0001001000110
311001010200222000
43131100021012
5104321444232
65431050130
71302664020
oct335201106
9131120860
1057999942
112a815240
1217510946
13c0297c0
1479bb010
15515a27c
hex3750246

57999942 has 256 divisors, whose sum is σ = 183859200. Its totient is φ = 13063680.

The previous prime is 57999941. The next prime is 58000003. The reversal of 57999942 is 24999975.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1837080) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57999941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1567548 + ... + 1567584.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 257999942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57999942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

57999942 is an abundant number, since it is smaller than the sum of its proper divisors (125859258).

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

57999942 is a wasteful number, since it uses less digits than its factorization.

57999942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 57999942 is about 7615.7692979764. The cubic root of 57999942 is about 387.0875350335.

It can be divided in two parts, 57 and 999942, that added together give a palindrome (999999).

The spelling of 57999942 in words is "fifty-seven million, nine hundred ninety-nine thousand, nine hundred forty-two".