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2424472740 = 2232513469293
BaseRepresentation
bin1001000010000010…
…1000010010100100
320020222001222100200
42100200220102210
514431131111430
61040324510500
7114036451434
oct22040502244
96228058320
102424472740
111034608288
12577b4b430
132c83a6b71
1418ddd02c4
15e2cac460
hex908284a4

2424472740 has 36 divisors (see below), whose sum is σ = 7354234524. Its totient is φ = 646526016.

The previous prime is 2424472717. The next prime is 2424472747. The reversal of 2424472740 is 472744242.

It can be written as a sum of positive squares in 2 ways, for example, as 1805060196 + 619412544 = 42486^2 + 24888^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2424472695 and 2424472704.

It is not an unprimeable number, because it can be changed into a prime (2424472747) 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, 6734467 + ... + 6734826.

Almost surely, 22424472740 is an apocalyptic number.

2424472740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424472740 is an abundant number, since it is smaller than the sum of its proper divisors (4929761784).

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

2424472740 is a wasteful number, since it uses less digits than its factorization.

2424472740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469308 (or 13469303 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The square root of 2424472740 is about 49238.9352037592. The cubic root of 2424472740 is about 1343.4013131261.

The spelling of 2424472740 in words is "two billion, four hundred twenty-four million, four hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13469293 26938586 40407879 53877172 67346465 80815758 121223637 134692930 161631516 202039395 242447274 269385860 404078790 484894548 606118185 808157580 1212236370 2424472740