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2442014352 = 243318131231
BaseRepresentation
bin1001000110001110…
…0010111010010000
320022012002011221000
42101203202322100
520000123424402
61042152502000
7114341531241
oct22143427220
96265064830
102442014352
1110434a9588
125819aa900
132cbc0930b
14192478cc8
15e45c4c1c
hex918e2e90

2442014352 has 80 divisors (see below), whose sum is σ = 7048437760. Its totient is φ = 809481600.

The previous prime is 2442014347. The next prime is 2442014353. The reversal of 2442014352 is 2534102442.

2442014352 is a `hidden beast` number, since 24 + 4 + 201 + 435 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2442014353) 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, 62577 + ... + 93807.

It is an arithmetic number, because the mean of its divisors is an integer number (88105472).

Almost surely, 22442014352 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 2442014352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524218880).

2442014352 is an abundant number, since it is smaller than the sum of its proper divisors (4606423408).

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

2442014352 is a wasteful number, since it uses less digits than its factorization.

2442014352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31429 (or 31417 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2442014352 is about 49416.7416165817. The cubic root of 2442014352 is about 1346.6334685582.

Adding to 2442014352 its reverse (2534102442), we get a palindrome (4976116794).

The spelling of 2442014352 in words is "two billion, four hundred forty-two million, fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 181 216 362 432 543 724 1086 1448 1629 2172 2896 3258 4344 4887 6516 8688 9774 13032 19548 26064 31231 39096 62462 78192 93693 124924 187386 249848 281079 374772 499696 562158 749544 843237 1124316 1499088 1686474 2248632 3372948 4497264 5652811 6745896 11305622 13491792 16958433 22611244 33916866 45222488 50875299 67833732 90444976 101750598 135667464 152625897 203501196 271334928 305251794 407002392 610503588 814004784 1221007176 2442014352