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2400042424 = 231340915641
BaseRepresentation
bin1000111100001101…
…1011110110111000
320012021002210021011
42033003123312320
514403402324144
61034053123304
7113322011143
oct21703336670
96167083234
102400042424
11102184143a
1256b929534
132c3302060
1418aa7105a
15e0a83a34
hex8f0dbdb8

2400042424 has 32 divisors (see below), whose sum is σ = 4848283440. Its totient is φ = 1107244800.

The previous prime is 2400042409. The next prime is 2400042427. The reversal of 2400042424 is 4242400042.

It is a junction number, because it is equal to n+sod(n) for n = 2400042395 and 2400042404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400042427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422644 + ... + 428284.

Almost surely, 22400042424 is an apocalyptic number.

It is an amenable number.

2400042424 is an abundant number, since it is smaller than the sum of its proper divisors (2448241016).

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

2400042424 is a wasteful number, since it uses less digits than its factorization.

2400042424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9751 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2400042424 is about 48990.2278418870. The cubic root of 2400042424 is about 1338.8737890133.

Adding to 2400042424 its reverse (4242400042), we get a palindrome (6642442466).

The spelling of 2400042424 in words is "two billion, four hundred million, forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 4091 5641 8182 11282 16364 22564 32728 45128 53183 73333 106366 146666 212732 293332 425464 586664 23077331 46154662 92309324 184618648 300005303 600010606 1200021212 2400042424