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2424124240 = 24530301553
BaseRepresentation
bin1001000001111101…
…0011001101010000
320020221102021022021
42100133103031100
514431033433430
61040313221224
7114033500416
oct22037231520
96227367267
102424124240
11103439a46a
12577a01814
132c82b4355
1418dd3d2b6
15e2c3e07a
hex907d3350

2424124240 has 20 divisors (see below), whose sum is σ = 5636089044. Its totient is φ = 969649664.

The previous prime is 2424124237. The next prime is 2424124247. The reversal of 2424124240 is 424214242.

It can be written as a sum of positive squares in 2 ways, for example, as 1227241024 + 1196883216 = 35032^2 + 34596^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424124247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15150697 + ... + 15150856.

Almost surely, 22424124240 is an apocalyptic number.

2424124240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424124240 is an abundant number, since it is smaller than the sum of its proper divisors (3211964804).

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

2424124240 is a wasteful number, since it uses less digits than its factorization.

2424124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30301566 (or 30301560 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 2424124240 is about 49235.3962104501. The cubic root of 2424124240 is about 1343.3369420454.

Adding to 2424124240 its reverse (424214242), we get a palindrome (2848338482).

The spelling of 2424124240 in words is "two billion, four hundred twenty-four million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 30301553 60603106 121206212 151507765 242412424 303015530 484824848 606031060 1212062120 2424124240