Search a number
-
+
2429480424 = 233722676379
BaseRepresentation
bin1001000011001110…
…1110110111101000
320021022111101121110
42100303232313220
514433421333144
61041024110320
7114130146210
oct22063566750
96238441543
102429480424
111037418668
125797653a0
132c943b2a7
14190935240
15e344b0b9
hex90ceede8

2429480424 has 64 divisors (see below), whose sum is σ = 6945523200. Its totient is φ = 693722304.

The previous prime is 2429480411. The next prime is 2429480441. The reversal of 2429480424 is 4240849242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377667 + ... + 384045.

It is an arithmetic number, because the mean of its divisors is an integer number (108523800).

Almost surely, 22429480424 is an apocalyptic number.

2429480424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2429480424 is an abundant number, since it is smaller than the sum of its proper divisors (4516042776).

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

2429480424 is a wasteful number, since it uses less digits than its factorization.

2429480424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8662 (or 8658 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 2429480424 is about 49289.7598289949. The cubic root of 2429480424 is about 1344.3255969579.

The spelling of 2429480424 in words is "two billion, four hundred twenty-nine million, four hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2267 4534 6379 6801 9068 12758 13602 15869 18136 19137 25516 27204 31738 38274 44653 47607 51032 54408 63476 76548 89306 95214 126952 133959 153096 178612 190428 267918 357224 380856 535836 1071672 14461193 28922386 43383579 57844772 86767158 101228351 115689544 173534316 202456702 303685053 347068632 404913404 607370106 809826808 1214740212 2429480424