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442303988 = 22731791801
BaseRepresentation
bin11010010111010…
…000010111110100
31010211021101000012
4122113100113310
51401212211423
6111520035352
713650344000
oct3227202764
91124241005
10442303988
1120773a595
12104162b58
1370833a49
1442a57700
1528c6d078
hex1a5d05f4

442303988 has 48 divisors (see below), whose sum is σ = 908208000. Its totient is φ = 188395200.

The previous prime is 442303987. The next prime is 442303993. The reversal of 442303988 is 889303244.

It can be divided in two parts, 44 and 2303988, that added together give a palindrome (2304032).

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442303987) 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, 244688 + ... + 246488.

It is an arithmetic number, because the mean of its divisors is an integer number (18921000).

Almost surely, 2442303988 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 442303988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454104000).

442303988 is an abundant number, since it is smaller than the sum of its proper divisors (465904012).

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

442303988 is a wasteful number, since it uses less digits than its factorization.

442303988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 442303988 is about 21031.0244163236. The cubic root of 442303988 is about 761.9157508874.

The spelling of 442303988 in words is "four hundred forty-two million, three hundred three thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 98 179 196 343 358 686 716 1253 1372 1801 2506 3602 5012 7204 8771 12607 17542 25214 35084 50428 61397 88249 122794 176498 245588 322379 352996 617743 644758 1235486 1289516 2256653 2470972 4513306 9026612 15796571 31593142 63186284 110575997 221151994 442303988