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442072410 = 235131133519
BaseRepresentation
bin11010010110010…
…111110101011010
31010210211121100020
4122112113311122
51401132304120
6111511051310
713645360563
oct3226276532
91123747306
10442072410
112075a15aa
12104070b36
1370782510
14429d716a
1528c24640
hex1a597d5a

442072410 has 32 divisors (see below), whose sum is σ = 1142588160. Its totient is φ = 108817728.

The previous prime is 442072399. The next prime is 442072439. The reversal of 442072410 is 14270244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566370 + ... + 567149.

It is an arithmetic number, because the mean of its divisors is an integer number (35705880).

Almost surely, 2442072410 is an apocalyptic number.

442072410 is an abundant number, since it is smaller than the sum of its proper divisors (700515750).

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

442072410 is a wasteful number, since it uses less digits than its factorization.

442072410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133542.

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 442072410 is about 21025.5180673390. The cubic root of 442072410 is about 761.7827550798.

The spelling of 442072410 in words is "four hundred forty-two million, seventy-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1133519 2267038 3400557 5667595 6801114 11335190 14735747 17002785 29471494 34005570 44207241 73678735 88414482 147357470 221036205 442072410