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42447240 = 2335511397
BaseRepresentation
bin1010000111101…
…1000110001000
32221212112200000
42201323012020
541331302430
64113443000
71023536613
oct241730610
987775600
1042447240
1121a62270
1212270460
138a42714
1458cd17a
153ad6e60
hex287b188

42447240 has 192 divisors, whose sum is σ = 156461760. Its totient is φ = 10264320.

The previous prime is 42447239. The next prime is 42447257. The reversal of 42447240 is 4274424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 106722 + ... + 107118.

It is an arithmetic number, because the mean of its divisors is an integer number (814905).

Almost surely, 242447240 is an apocalyptic number.

42447240 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 42447240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78230880).

42447240 is an abundant number, since it is smaller than the sum of its proper divisors (114014520).

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

42447240 is a wasteful number, since it uses less digits than its factorization.

42447240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 42447240 is about 6515.1546412959. The cubic root of 42447240 is about 348.8321346611.

The spelling of 42447240 in words is "forty-two million, four hundred forty-seven thousand, two hundred forty".