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442545432 = 23372634199
BaseRepresentation
bin11010011000001…
…011010100011000
31010211201122012120
4122120023110120
51401242423212
6111525141240
713652400630
oct3230132430
91124648176
10442545432
11207894a2a
1210425a820
13708b9904
1442abb6c0
1528cb988c
hex1a60b518

442545432 has 32 divisors (see below), whose sum is σ = 1264416000. Its totient is φ = 126441504.

The previous prime is 442545421. The next prime is 442545437. The reversal of 442545432 is 234545244.

It is a junction number, because it is equal to n+sod(n) for n = 442545393 and 442545402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442545437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1316932 + ... + 1317267.

It is an arithmetic number, because the mean of its divisors is an integer number (39513000).

Almost surely, 2442545432 is an apocalyptic number.

442545432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442545432 is an abundant number, since it is smaller than the sum of its proper divisors (821870568).

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

442545432 is a wasteful number, since it uses less digits than its factorization.

442545432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634215 (or 2634211 counting only the distinct ones).

The product of its digits is 76800, while the sum is 33.

The square root of 442545432 is about 21036.7638195612. The cubic root of 442545432 is about 762.0543633413.

The spelling of 442545432 in words is "four hundred forty-two million, five hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2634199 5268398 7902597 10536796 15805194 18439393 21073592 31610388 36878786 55318179 63220776 73757572 110636358 147515144 221272716 442545432