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2442007984 = 241319617917
BaseRepresentation
bin1001000110001110…
…0001010110110000
320022012001212012011
42101203201112300
520000123223414
61042152412304
7114341503543
oct22143412660
96265055164
102442007984
1110434a4819
125819a7094
132cbc06450
1419247685a
15e45c2dc4
hex918e15b0

2442007984 has 40 divisors (see below), whose sum is σ = 5363528240. Its totient is φ = 1067758848.

The previous prime is 2442007973. The next prime is 2442008021. The reversal of 2442007984 is 4897002442.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 305007 + ... + 312910.

It is an arithmetic number, because the mean of its divisors is an integer number (134088206).

Almost surely, 22442007984 is an apocalyptic number.

It is an amenable number.

2442007984 is an abundant number, since it is smaller than the sum of its proper divisors (2921520256).

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

2442007984 is a wasteful number, since it uses less digits than its factorization.

2442007984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617957 (or 617951 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 2442007984 is about 49416.6771849342. The cubic root of 2442007984 is about 1346.6322980260.

The spelling of 2442007984 in words is "two billion, four hundred forty-two million, seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 617917 1235834 2471668 4943336 8032921 9886672 11740423 16065842 23480846 32131684 46961692 64263368 93923384 128526736 152625499 187846768 305250998 610501996 1221003992 2442007984