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42332664 = 23311413911
BaseRepresentation
bin1010000101111…
…1000111111000
32221122201111110
42201133013320
541314121124
64111200320
71022551563
oct241370770
987581443
1042332664
1121994180
12122160a0
138a0251a
14589d4da
153ab3029
hex285f1f8

42332664 has 64 divisors (see below), whose sum is σ = 118298880. Its totient is φ = 12512000.

The previous prime is 42332659. The next prime is 42332671. The reversal of 42332664 is 46623324.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 8869 + ... + 12779.

It is an arithmetic number, because the mean of its divisors is an integer number (1848420).

Almost surely, 242332664 is an apocalyptic number.

42332664 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 42332664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59149440).

42332664 is an abundant number, since it is smaller than the sum of its proper divisors (75966216).

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

42332664 is a wasteful number, since it uses less digits than its factorization.

42332664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3968 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 42332664 is about 6506.3556619662. The cubic root of 42332664 is about 348.5179893378.

Adding to 42332664 its reverse (46623324), we get a palindrome (88955988).

The spelling of 42332664 in words is "forty-two million, three hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 3911 5412 7822 10824 11733 15644 23466 31288 43021 46932 86042 93864 129063 160351 172084 258126 320702 344168 481053 516252 641404 962106 1032504 1282808 1763861 1924212 3527722 3848424 5291583 7055444 10583166 14110888 21166332 42332664