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4229342624 = 25132782053
BaseRepresentation
bin1111110000010110…
…1010010110100000
3101220202020212101102
43330011222112200
532130202430444
61535401253532
7206543550653
oct37405522640
911822225342
104229342624
111880398791
129a04942a8
135252b0700
142c19b389a
1519b47884e
hexfc16a5a0

4229342624 has 36 divisors (see below), whose sum is σ = 9016300566. Its totient is φ = 1952001792.

The previous prime is 4229342587. The next prime is 4229342627. The reversal of 4229342624 is 4262439224.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1040707600 + 3188635024 = 32260^2 + 56468^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (4229342627) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 385619 + ... + 396434.

Almost surely, 24229342624 is an apocalyptic number.

It is an amenable number.

4229342624 is an abundant number, since it is smaller than the sum of its proper divisors (4786957942).

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

4229342624 is a wasteful number, since it uses less digits than its factorization.

4229342624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782089 (or 782068 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

The square root of 4229342624 is about 65033.3962207111. The cubic root of 4229342624 is about 1617.1772497084.

The spelling of 4229342624 in words is "four billion, two hundred twenty-nine million, three hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 782053 1564106 3128212 6256424 10166689 12512848 20333378 25025696 40666756 81333512 132166957 162667024 264333914 325334048 528667828 1057335656 2114671312 4229342624