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2420414424 = 233271473477
BaseRepresentation
bin1001000001000100…
…1001011111011000
320020200102210101200
42100101021133120
514424111230144
61040101514200
7113660116551
oct22021113730
96220383350
102420414424
1110322961aa
12576712960
132c75b58ac
1418d655328
15e2759c69
hex904497d8

2420414424 has 48 divisors (see below), whose sum is σ = 6647631120. Its totient is φ = 795439680.

The previous prime is 2420414417. The next prime is 2420414467. The reversal of 2420414424 is 4244140242.

2420414424 is a `hidden beast` number, since 24 + 204 + 14 + 424 = 666.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 231627 + ... + 241850.

It is an arithmetic number, because the mean of its divisors is an integer number (138492315).

Almost surely, 22420414424 is an apocalyptic number.

2420414424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2420414424 is an abundant number, since it is smaller than the sum of its proper divisors (4227216696).

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

2420414424 is a wasteful number, since it uses less digits than its factorization.

2420414424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473560 (or 473553 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2420414424 is about 49197.7075075658. The cubic root of 2420414424 is about 1342.6513229965.

Adding to 2420414424 its reverse (4244140242), we get a palindrome (6664554666).

The spelling of 2420414424 in words is "two billion, four hundred twenty million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 473477 946954 1420431 1893908 2840862 3787816 4261293 5681724 8522586 11363448 17045172 33616867 34090344 67233734 100850601 134467468 201701202 268934936 302551803 403402404 605103606 806804808 1210207212 2420414424