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2442662442 = 2321117725687
BaseRepresentation
bin1001000110011000…
…0001001000101010
320022020022002221100
42101212001020222
520000310144232
61042214422230
7114350200563
oct22146011052
96266262840
102442662442
1110439014a0
12582061976
132cc0a52bc
141925a716a
15e46a1c7c
hex9198122a

2442662442 has 48 divisors (see below), whose sum is σ = 6113195712. Its totient is φ = 696658560.

The previous prime is 2442662413. The next prime is 2442662471.

2442662442 is a `hidden beast` number, since 2 + 4 + 4 + 26 + 624 + 4 + 2 = 666.

2442662442 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2442662413) and next prime (2442662471).

It is a junction number, because it is equal to n+sod(n) for n = 2442662397 and 2442662406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359478 + ... + 366209.

It is an arithmetic number, because the mean of its divisors is an integer number (127358244).

Almost surely, 22442662442 is an apocalyptic number.

2442662442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2442662442 is an abundant number, since it is smaller than the sum of its proper divisors (3670533270).

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

2442662442 is a wasteful number, since it uses less digits than its factorization.

2442662442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725723 (or 725720 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 2442662442 is about 49423.2985746601. The cubic root of 2442662442 is about 1346.7525864072.

It can be divided in two parts, 24426 and 62442, that added together give a palindrome (86868).

The spelling of 2442662442 in words is "two billion, four hundred forty-two million, six hundred sixty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 725687 1451374 2177061 4354122 6531183 7982557 12336679 13062366 15965114 23947671 24673358 37010037 47895342 71843013 74020074 111030111 135703469 143686026 222060222 271406938 407110407 814220814 1221331221 2442662442