Search a number
-
+
42315984 = 2432293861
BaseRepresentation
bin1010000101101…
…1000011010000
32221121212121200
42201123003100
541313102414
64110551200
71022452134
oct241330320
987555550
1042315984
1121982697
1212208500
1389c7a59
1458973c4
153aad109
hex285b0d0

42315984 has 30 divisors (see below), whose sum is σ = 118426386. Its totient is φ = 14105280.

The previous prime is 42315979. The next prime is 42315997. The reversal of 42315984 is 48951324.

42315984 is a `hidden beast` number, since 423 + 159 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33315984 + 9000000 = 5772^2 + 3000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146787 + ... + 147074.

Almost surely, 242315984 is an apocalyptic number.

It is an amenable number.

42315984 is an abundant number, since it is smaller than the sum of its proper divisors (76110402).

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

42315984 is a wasteful number, since it uses less digits than its factorization.

42315984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293875 (or 293866 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 42315984 is about 6505.0737121112. The cubic root of 42315984 is about 348.4722087419.

The spelling of 42315984 in words is "forty-two million, three hundred fifteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293861 587722 881583 1175444 1763166 2350888 2644749 3526332 4701776 5289498 7052664 10578996 14105328 21157992 42315984