Search a number
-
+
445139968 = 21071317281
BaseRepresentation
bin11010100010000…
…100110000000000
31011000121110020111
4122202010300000
51402423434333
6112100521104
714013425110
oct3242046000
91130543214
10445139968
112092a7279
121050b0194
13712b7840
1443195040
152912d4cd
hex1a884c00

445139968 has 176 divisors, whose sum is σ = 1163744064. Its totient is φ = 165150720.

The previous prime is 445139939. The next prime is 445139971. The reversal of 445139968 is 869931544.

It is a happy number.

It is a super-2 number, since 2×4451399682 = 396299182222082048, which contains 22 as substring.

Its product of digits (933120) is a multiple of the sum of its prime divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1583988 + ... + 1584268.

Almost surely, 2445139968 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 445139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581872032).

445139968 is an abundant number, since it is smaller than the sum of its proper divisors (718604096).

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

445139968 is a wasteful number, since it uses less digits than its factorization.

445139968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 445139968 is about 21098.3404086672. The cubic root of 445139968 is about 763.5407087497.

The spelling of 445139968 in words is "four hundred forty-five million, one hundred thirty-nine thousand, nine hundred sixty-eight".