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2424965049 = 3213233141709
BaseRepresentation
bin1001000010001010…
…0000011110111001
320020222222222200100
42100202200132321
514431242340144
61040343230013
7114043601643
oct22042403671
96228888610
102424965049
111034914151
12578148309
132c8519c80
141900bb893
15e2d58269
hex908a07b9

2424965049 has 96 divisors (see below), whose sum is σ = 4168120320. Its totient is φ = 1345766400.

The previous prime is 2424965033. The next prime is 2424965069. The reversal of 2424965049 is 9405694242.

It is not a de Polignac number, because 2424965049 - 24 = 2424965033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2424964995 and 2424965013.

It is not an unprimeable number, because it can be changed into a prime (2424965069) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3419907 + ... + 3420615.

It is an arithmetic number, because the mean of its divisors is an integer number (43417920).

Almost surely, 22424965049 is an apocalyptic number.

It is an amenable number.

2424965049 is a deficient number, since it is larger than the sum of its proper divisors (1743155271).

2424965049 is a wasteful number, since it uses less digits than its factorization.

2424965049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2424965049 is about 49243.9341340637. The cubic root of 2424965049 is about 1343.4922365100.

It can be divided in two parts, 24249 and 65049, that added together give a palindrome (89298).

The spelling of 2424965049 in words is "two billion, four hundred twenty-four million, nine hundred sixty-five thousand, forty-nine".

Divisors: 1 3 9 13 23 31 39 41 69 93 117 123 207 279 299 369 403 533 709 713 897 943 1209 1271 1599 2127 2139 2691 2829 3627 3813 4797 6381 6417 8487 9217 9269 11439 12259 16307 16523 21979 27651 27807 29069 29233 36777 48921 49569 65937 82953 83421 87207 87699 110331 146763 148707 197811 211991 261621 263097 285727 377897 380029 505517 635973 668587 857181 901139 1133691 1140087 1516551 1907919 2005761 2571543 2703417 3401073 3420261 4549653 6017283 6571721 8110251 8691631 11714807 19715163 20726197 26074893 35144421 59145489 62178591 78224679 105433263 186535773 269440561 808321683 2424965049