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442354692 = 2231310726501
BaseRepresentation
bin11010010111011…
…100110000000100
31010211100221120010
4122113130300010
51401220322232
6111521110220
713650644553
oct3227346004
91124327503
10442354692
1120777469a
12104188370
1370850b50
1442a6bd9a
1528c7d0cc
hex1a5dcc04

442354692 has 48 divisors (see below), whose sum is σ = 1121988672. Its totient is φ = 134832000.

The previous prime is 442354667. The next prime is 442354697. The reversal of 442354692 is 296453244.

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 442354692.

It is not an unprimeable number, because it can be changed into a prime (442354697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3442 + ... + 29942.

It is an arithmetic number, because the mean of its divisors is an integer number (23374764).

Almost surely, 2442354692 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 442354692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560994336).

442354692 is an abundant number, since it is smaller than the sum of its proper divisors (679633980).

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

442354692 is a wasteful number, since it uses less digits than its factorization.

442354692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26628 (or 26626 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 442354692 is about 21032.2298389876. The cubic root of 442354692 is about 761.9448641226.

The spelling of 442354692 in words is "four hundred forty-two million, three hundred fifty-four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 4173 5564 8346 16692 26501 53002 79503 106004 159006 318012 344513 689026 1033539 1378052 2067078 2835607 4134156 5671214 8506821 11342428 17013642 34027284 36862891 73725782 110588673 147451564 221177346 442354692