Search a number
-
+
442442440 = 235111005551
BaseRepresentation
bin11010010111110…
…010001011001000
31010211112101221001
4122113302023020
51401231124230
6111523024344
713651461436
oct3227621310
91124471831
10442442440
11207824610
1210420b0b4
1370881a7b
1442a91d56
1528c990ca
hex1a5f22c8

442442440 has 32 divisors (see below), whose sum is σ = 1085996160. Its totient is φ = 160888000.

The previous prime is 442442401. The next prime is 442442461. The reversal of 442442440 is 44244244.

It is a junction number, because it is equal to n+sod(n) for n = 442442399 and 442442408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502336 + ... + 503215.

It is an arithmetic number, because the mean of its divisors is an integer number (33937380).

Almost surely, 2442442440 is an apocalyptic number.

442442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442442440 is an abundant number, since it is smaller than the sum of its proper divisors (643553720).

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

442442440 is a wasteful number, since it uses less digits than its factorization.

442442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005573 (or 1005569 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 442442440 is about 21034.3157720901. The cubic root of 442442440 is about 761.9952420348.

Adding to 442442440 its reverse (44244244), we get a palindrome (486686684).

It can be divided in two parts, 4424 and 42440, that added together give a palindrome (46864).

The spelling of 442442440 in words is "four hundred forty-two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1005551 2011102 4022204 5027755 8044408 10055510 11061061 20111020 22122122 40222040 44244244 55305305 88488488 110610610 221221220 442442440