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442264020 = 223511670097
BaseRepresentation
bin11010010111000…
…110100111010100
31010211012100011220
4122113012213110
51401204422040
6111515130340
713650116322
oct3227064724
91124170156
10442264020
11207712560
121041439b0
137081b7b3
1442a46d12
1528c612d0
hex1a5c69d4

442264020 has 48 divisors (see below), whose sum is σ = 1350917568. Its totient is φ = 107215360.

The previous prime is 442264013. The next prime is 442264021. The reversal of 442264020 is 20462244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442264021) 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, 334389 + ... + 335708.

It is an arithmetic number, because the mean of its divisors is an integer number (28144116).

Almost surely, 2442264020 is an apocalyptic number.

It is an amenable number.

442264020 is an abundant number, since it is smaller than the sum of its proper divisors (908653548).

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

442264020 is a wasteful number, since it uses less digits than its factorization.

442264020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670120 (or 670118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 442264020 is about 21030.0741796124. The cubic root of 442264020 is about 761.8928004831.

It can be divided in two parts, 442 and 264020, that added together give a palindrome (264462).

The spelling of 442264020 in words is "four hundred forty-two million, two hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 670097 1340194 2010291 2680388 3350485 4020582 6700970 7371067 8041164 10051455 13401940 14742134 20102910 22113201 29484268 36855335 40205820 44226402 73710670 88452804 110566005 147421340 221132010 442264020