Search a number
-
+
42487859232 = 2534721325733
BaseRepresentation
bin100111100100011110…
…010100100000100000
311001200001101212210000
4213210132110200200
51144003342443412
631304010140000
73032613562500
oct474436244040
9131601355700
1042487859232
111702331a555
128299121600
134011620910
1420b0b7ba00
15118a1154dc
hex9e4794820

42487859232 has 360 divisors, whose sum is σ = 156543885036. Its totient is φ = 11205153792.

The previous prime is 42487859189. The next prime is 42487859243. The reversal of 42487859232 is 23295878424.

42487859232 is a `hidden beast` number, since 4 + 2 + 48 + 7 + 8 + 592 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34120000656 + 8367858576 = 184716^2 + 91476^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1638238 + ... + 1663970.

Almost surely, 242487859232 is an apocalyptic number.

42487859232 is a gapful number since it is divisible by the number (42) 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 42487859232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78271942518).

42487859232 is an abundant number, since it is smaller than the sum of its proper divisors (114056025804).

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

42487859232 is a wasteful number, since it uses less digits than its factorization.

42487859232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25782 (or 25758 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 42487859232 in words is "forty-two billion, four hundred eighty-seven million, eight hundred fifty-nine thousand, two hundred thirty-two".