Search a number
-
+
42389568 = 2634131737
BaseRepresentation
bin1010000110110…
…1000001000000
32221202121120000
42201231001000
541322431233
64112320000
71023206514
oct241550100
987677500
1042389568
1121a22a01
1212243000
138a223b0
1458b6144
153ac4d13
hex286d040

42389568 has 280 divisors, whose sum is σ = 147154392. Its totient is φ = 11943936.

The previous prime is 42389537. The next prime is 42389591. The reversal of 42389568 is 86598324.

42389568 is a `hidden beast` number, since 4 + 2 + 3 + 89 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 29942784 = 3528^2 + 5472^2 .

Its product of digits (414720) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1145646 + ... + 1145682.

Almost surely, 242389568 is an apocalyptic number.

42389568 is a gapful number since it is divisible by the number (48) 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 42389568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73577196).

42389568 is an abundant number, since it is smaller than the sum of its proper divisors (104764824).

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

42389568 is a wasteful number, since it uses less digits than its factorization.

42389568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 42389568 is about 6510.7271483299. The cubic root of 42389568 is about 348.6740799013.

The spelling of 42389568 in words is "forty-two million, three hundred eighty-nine thousand, five hundred sixty-eight".