Search a number
-
+
42324408 = 23327791063
BaseRepresentation
bin1010000101110…
…1000110111000
32221122022011200
42201131012320
541313340113
64111054200
71022515530
oct241350670
987568150
1042324408
1121988a55
1212211360
1389cb839
14589a4c0
153ab0873
hex285d1b8

42324408 has 96 divisors (see below), whose sum is σ = 132787200. Its totient is φ = 11928384.

The previous prime is 42324389. The next prime is 42324409. The reversal of 42324408 is 80442324.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42324409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39285 + ... + 40347.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 242324408 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 42324408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66393600).

42324408 is an abundant number, since it is smaller than the sum of its proper divisors (90462792).

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

42324408 is a wasteful number, since it uses less digits than its factorization.

42324408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42324408 is about 6505.7211744740. The cubic root of 42324408 is about 348.4953310930.

The spelling of 42324408 in words is "forty-two million, three hundred twenty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1063 1106 1422 1659 1896 2126 2212 2844 3189 3318 4252 4424 4977 5688 6378 6636 7441 8504 9567 9954 12756 13272 14882 19134 19908 22323 25512 29764 38268 39816 44646 59528 66969 76536 83977 89292 133938 167954 178584 251931 267876 335908 503862 535752 587839 671816 755793 1007724 1175678 1511586 1763517 2015448 2351356 3023172 3527034 4702712 5290551 6046344 7054068 10581102 14108136 21162204 42324408