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42933816 = 23325311251
BaseRepresentation
bin1010001111000…
…1111000111000
32222210021010100
42203301320320
541442340231
64132115400
71030634322
oct243617070
988707110
1042933816
11222648a2
1212465b60
138b83033
1459b8612
153b811e6
hex28f1e38

42933816 has 48 divisors (see below), whose sum is σ = 118483560. Its totient is φ = 14040000.

The previous prime is 42933797. The next prime is 42933827. The reversal of 42933816 is 61833924.

42933816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1810 + ... + 9441.

Almost surely, 242933816 is an apocalyptic number.

It is an amenable number.

42933816 is an abundant number, since it is smaller than the sum of its proper divisors (75549744).

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

42933816 is a wasteful number, since it uses less digits than its factorization.

42933816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11316 (or 11309 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42933816 is about 6552.3900982771. The cubic root of 42933816 is about 350.1599704105.

The spelling of 42933816 in words is "forty-two million, nine hundred thirty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 11251 22502 33753 45004 67506 90008 101259 135012 202518 270024 405036 596303 810072 1192606 1788909 2385212 3577818 4770424 5366727 7155636 10733454 14311272 21466908 42933816