Search a number
-
+
419043528 = 23325820049
BaseRepresentation
bin11000111110100…
…001100011001000
31002012111121122200
4120332201203020
51324233343103
6105325320200
713245545151
oct3076414310
91065447580
10419043528
111a55a2672
12b8406060
1368a7b567
143d920928
1526bc60a3
hex18fa18c8

419043528 has 24 divisors (see below), whose sum is σ = 1134909750. Its totient is φ = 139681152.

The previous prime is 419043503. The next prime is 419043529. The reversal of 419043528 is 825340914.

419043528 is a `hidden beast` number, since 4 + 1 + 90 + 43 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 415425924 + 3617604 = 20382^2 + 1902^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 419043492 and 419043501.

It is not an unprimeable number, because it can be changed into a prime (419043529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2909953 + ... + 2910096.

Almost surely, 2419043528 is an apocalyptic number.

It is an amenable number.

419043528 is an abundant number, since it is smaller than the sum of its proper divisors (715866222).

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

419043528 is a wasteful number, since it uses less digits than its factorization.

419043528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820061 (or 5820054 counting only the distinct ones).

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

The square root of 419043528 is about 20470.5527038231. The cubic root of 419043528 is about 748.3183227672.

The spelling of 419043528 in words is "four hundred nineteen million, forty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5820049 11640098 17460147 23280196 34920294 46560392 52380441 69840588 104760882 139681176 209521764 419043528