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42324480 = 2932511167
BaseRepresentation
bin1010000101110…
…1001000000000
32221122022021100
42201131020000
541313340410
64111054400
71022515662
oct241351000
987568240
1042324480
1121989010
1212211400
1389cb893
14589a532
153ab08c0
hex285d200

42324480 has 240 divisors, whose sum is σ = 160864704. Its totient is φ = 10199040.

The previous prime is 42324479. The next prime is 42324511. The reversal of 42324480 is 8442324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253357 + ... + 253523.

Almost surely, 242324480 is an apocalyptic number.

42324480 is a gapful number since it is divisible by the number (40) 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 42324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352).

42324480 is an abundant number, since it is smaller than the sum of its proper divisors (118540224).

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

42324480 is a wasteful number, since it uses less digits than its factorization.

42324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

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

The square root of 42324480 is about 6505.7267080627. The cubic root of 42324480 is about 348.4955287067.

It can be divided in two parts, 423244 and 80, that added together give a palindrome (423324).

The spelling of 42324480 in words is "forty-two million, three hundred twenty-four thousand, four hundred eighty".