Search a number
-
+
442150660 = 225713922721
BaseRepresentation
bin11010010110101…
…010111100000100
31010210222120200101
4122112222330010
51401142310120
6111512453444
713646134660
oct3226527404
91123876611
10442150660
11207645376
121040aa284
13707ac013
1442a178a0
1528c3c90a
hex1a5aaf04

442150660 has 48 divisors (see below), whose sum is σ = 1068842880. Its totient is φ = 150497280.

The previous prime is 442150651. The next prime is 442150663. The reversal of 442150660 is 66051244.

It is a super-2 number, since 2×4421506602 = 390994412276871200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (442150663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8100 + ... + 30820.

It is an arithmetic number, because the mean of its divisors is an integer number (22267560).

Almost surely, 2442150660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442150660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534421440).

442150660 is an abundant number, since it is smaller than the sum of its proper divisors (626692220).

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

442150660 is a wasteful number, since it uses less digits than its factorization.

442150660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22876 (or 22874 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 442150660 is about 21027.3788190540. The cubic root of 442150660 is about 761.8276994392.

The spelling of 442150660 in words is "four hundred forty-two million, one hundred fifty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 973 1390 1946 2780 3892 4865 9730 19460 22721 45442 90884 113605 159047 227210 318094 454420 636188 795235 1590470 3158219 3180940 6316438 12632876 15791095 22107533 31582190 44215066 63164380 88430132 110537665 221075330 442150660