Search a number
-
+
442403136 = 26327113971
BaseRepresentation
bin11010010111101…
…000100101000000
31010211110102000100
4122113220211000
51401223400021
6111522122400
713651236030
oct3227504500
91124412010
10442403136
112077a802a
121041b0400
1370869c06
1442a818c0
1528c8c626
hex1a5e8940

442403136 has 168 divisors, whose sum is σ = 1463552064. Its totient is φ = 125153280.

The previous prime is 442403123. The next prime is 442403173. The reversal of 442403136 is 631304244.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455131 + ... + 456101.

Almost surely, 2442403136 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 442403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731776032).

442403136 is an abundant number, since it is smaller than the sum of its proper divisors (1021148928).

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

442403136 is a wasteful number, since it uses less digits than its factorization.

442403136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 442403136 is about 21033.3814685133. The cubic root of 442403136 is about 761.9726776324.

The spelling of 442403136 in words is "four hundred forty-two million, four hundred three thousand, one hundred thirty-six".