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42399324 = 223211107069
BaseRepresentation
bin1010000110111…
…1011001011100
32221210002221100
42201233121130
541323234244
64112433100
71023250122
oct241573134
987702840
1042399324
1121a2a270
1212248790
138a26976
1458b9912
153ac7b69
hex286f65c

42399324 has 36 divisors (see below), whose sum is σ = 116920440. Its totient is φ = 12848160.

The previous prime is 42399307. The next prime is 42399337.

42399324 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53139 + ... + 53930.

It is an arithmetic number, because the mean of its divisors is an integer number (3247790).

Almost surely, 242399324 is an apocalyptic number.

42399324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42399324 is an abundant number, since it is smaller than the sum of its proper divisors (74521116).

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

42399324 is a wasteful number, since it uses less digits than its factorization.

42399324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107090 (or 107085 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 42399324 is about 6511.4763302956. The cubic root of 42399324 is about 348.7008270748.

The spelling of 42399324 in words is "forty-two million, three hundred ninety-nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 107069 214138 321207 428276 642414 963621 1177759 1284828 1927242 2355518 3533277 3854484 4711036 7066554 10599831 14133108 21199662 42399324