Search a number
-
+
442155636 = 223213944777
BaseRepresentation
bin11010010110101…
…100001001110100
31010210222211111200
4122112230021310
51401142440021
6111512532500
713646155326
oct3226541164
91123884450
10442155636
1120764908a
121040b1130
13707b1370
1442a19616
1528c3e126
hex1a5ac274

442155636 has 36 divisors (see below), whose sum is σ = 1203647172. Its totient is φ = 136047744.

The previous prime is 442155613. The next prime is 442155667. The reversal of 442155636 is 636551244.

442155636 is a `hidden beast` number, since 4 + 4 + 2 + 15 + 5 + 636 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 287302500 + 154853136 = 16950^2 + 12444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 442155636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471921 + ... + 472856.

Almost surely, 2442155636 is an apocalyptic number.

It is an amenable number.

442155636 is an abundant number, since it is smaller than the sum of its proper divisors (761491536).

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

442155636 is a wasteful number, since it uses less digits than its factorization.

442155636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944800 (or 944795 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 442155636 is about 21027.4971406490. The cubic root of 442155636 is about 761.8305573191.

The spelling of 442155636 in words is "four hundred forty-two million, one hundred fifty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 944777 1889554 2834331 3779108 5668662 8502993 11337324 12282101 17005986 24564202 34011972 36846303 49128404 73692606 110538909 147385212 221077818 442155636