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2424749409 = 321657162593
BaseRepresentation
bin1001000010000110…
…1011110101100001
320020222121000212200
42100201223311201
514431213440114
61040334443413
7114042013155
oct22041536541
96228530780
102424749409
111034787135
12578063569
132c8472a84
14190063065
15e2d14409
hex9086bd61

2424749409 has 12 divisors (see below), whose sum is σ = 3504551076. Its totient is φ = 1615514112.

The previous prime is 2424749407. The next prime is 2424749419. The reversal of 2424749409 is 9049474242.

It can be written as a sum of positive squares in 2 ways, for example, as 623001600 + 1801747809 = 24960^2 + 42447^2 .

It is not a de Polignac number, because 2424749409 - 21 = 2424749407 is a prime.

It is a super-3 number, since 3×24247494093 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2424749407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66384 + ... + 96209.

It is an arithmetic number, because the mean of its divisors is an integer number (292045923).

Almost surely, 22424749409 is an apocalyptic number.

It is an amenable number.

2424749409 is a deficient number, since it is larger than the sum of its proper divisors (1079801667).

2424749409 is a wasteful number, since it uses less digits than its factorization.

2424749409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164256 (or 164253 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2424749409 is about 49241.7445771370. The cubic root of 2424749409 is about 1343.4524119836.

The spelling of 2424749409 in words is "two billion, four hundred twenty-four million, seven hundred forty-nine thousand, four hundred nine".

Divisors: 1 3 9 1657 4971 14913 162593 487779 1463337 269416601 808249803 2424749409