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42324816 = 2434773257
BaseRepresentation
bin1010000101110…
…1001101010000
32221122022201210
42201131031100
541313343231
64111100120
71022516652
oct241351520
987568653
1042324816
1121989296
1212211640
1389cba91
14589a6d2
153ab0a46
hex285d350

42324816 has 80 divisors (see below), whose sum is σ = 113635584. Its totient is φ = 13565952.

The previous prime is 42324811. The next prime is 42324817. The reversal of 42324816 is 61842324.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42324811) 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 15 ways as a sum of consecutive naturals, for example, 164560 + ... + 164816.

Almost surely, 242324816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42324816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56817792).

42324816 is an abundant number, since it is smaller than the sum of its proper divisors (71310768).

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

42324816 is a wasteful number, since it uses less digits than its factorization.

42324816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42324816 is about 6505.7525314140. The cubic root of 42324816 is about 348.4964509010.

The spelling of 42324816 in words is "forty-two million, three hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 73 94 141 146 188 219 257 282 292 376 438 514 564 584 752 771 876 1028 1128 1168 1542 1752 2056 2256 3084 3431 3504 4112 6168 6862 10293 12079 12336 13724 18761 20586 24158 27448 36237 37522 41172 48316 54896 56283 72474 75044 82344 96632 112566 144948 150088 164688 193264 225132 289896 300176 450264 579792 881767 900528 1763534 2645301 3527068 5290602 7054136 10581204 14108272 21162408 42324816