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4124492424 = 2332134406509
BaseRepresentation
bin1111010111010110…
…1100001010001000
3101122102221220221200
43311311230022020
531421332224144
61521134104200
7204131415153
oct36565541210
911572856850
104124492424
111827194228
1297134b060
1350965c380
142b1abcc9a
15192166c69
hexf5d6c288

4124492424 has 48 divisors (see below), whose sum is σ = 12029772300. Its totient is φ = 1269074304.

The previous prime is 4124492423. The next prime is 4124492443. The reversal of 4124492424 is 4242944214.

4124492424 is a `hidden beast` number, since 4 + 124 + 492 + 42 + 4 = 666.

4124492424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3178929924 + 945562500 = 56382^2 + 30750^2 .

It is a super-3 number, since 3×41244924243 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4124492423) 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, 2202319 + ... + 2204190.

Almost surely, 24124492424 is an apocalyptic number.

It is an amenable number.

4124492424 is an abundant number, since it is smaller than the sum of its proper divisors (7905279876).

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

4124492424 is a wasteful number, since it uses less digits than its factorization.

4124492424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406534 (or 4406527 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4124492424 is about 64222.2112979614. The cubic root of 4124492424 is about 1603.7013817968.

The spelling of 4124492424 in words is "four billion, one hundred twenty-four million, four hundred ninety-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 4406509 8813018 13219527 17626036 26439054 35252072 39658581 52878108 57284617 79317162 105756216 114569234 158634324 171853851 229138468 317268648 343707702 458276936 515561553 687415404 1031123106 1374830808 2062246212 4124492424