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442097292 = 223713404851
BaseRepresentation
bin11010010110011…
…101111010001100
31010210212212110210
4122112131322030
51401134103132
6111511402420
713645523250
oct3226357214
91123785423
10442097292
1120760926a
12104083410
1370790940
1442a02260
1528c2bbcc
hex1a59de8c

442097292 has 48 divisors (see below), whose sum is σ = 1269615872. Its totient is φ = 116596800.

The previous prime is 442097281. The next prime is 442097297. The reversal of 442097292 is 292790244.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 442097292.

It is not an unprimeable number, because it can be changed into a prime (442097297) 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, 201334 + ... + 203517.

Almost surely, 2442097292 is an apocalyptic number.

442097292 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442097292 is an abundant number, since it is smaller than the sum of its proper divisors (827518580).

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

442097292 is a wasteful number, since it uses less digits than its factorization.

442097292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404878 (or 404876 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 442097292 is about 21026.1097685711. The cubic root of 442097292 is about 761.7970470996.

The spelling of 442097292 in words is "four hundred forty-two million, ninety-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 404851 809702 1214553 1619404 2429106 2833957 4858212 5263063 5667914 8501871 10526126 11335828 15789189 17003742 21052252 31578378 34007484 36841441 63156756 73682882 110524323 147365764 221048646 442097292