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2427337242 = 23211101121379
BaseRepresentation
bin1001000010101110…
…0011101000011010
320021011110111201100
42100223203220122
514432344242432
61040510132230
7114103011651
oct22053435032
96234414640
102427337242
111036194440
12578ab1076
132c8b6a935
14190538198
15e317607c
hex90ae3a1a

2427337242 has 48 divisors (see below), whose sum is σ = 5794195680. Its totient is φ = 728268000.

The previous prime is 2427337219. The next prime is 2427337247.

2427337242 is a `hidden beast` number, since 242 + 7 + 3 + 372 + 42 = 666.

2427337242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2427337197 and 2427337206.

It is not an unprimeable number, because it can be changed into a prime (2427337247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40692 + ... + 80687.

It is an arithmetic number, because the mean of its divisors is an integer number (120712410).

Almost surely, 22427337242 is an apocalyptic number.

2427337242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2427337242 is an abundant number, since it is smaller than the sum of its proper divisors (3366858438).

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

2427337242 is a wasteful number, since it uses less digits than its factorization.

2427337242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121499 (or 121496 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 2427337242 is about 49268.0143906774. The cubic root of 2427337242 is about 1343.9301787974.

The spelling of 2427337242 in words is "two billion, four hundred twenty-seven million, three hundred thirty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1818 2222 3333 6666 9999 19998 121379 242758 364137 728274 1092411 1335169 2184822 2670338 4005507 8011014 12016521 12259279 24033042 24518558 36777837 73555674 110333511 134852069 220667022 269704138 404556207 809112414 1213668621 2427337242