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4042912608 = 25337668471
BaseRepresentation
bin1111000011111001…
…1111001101100000
3101102202110020111000
43300332133031200
531234441200413
61505101352000
7202121122140
oct36076371540
911382406430
104042912608
111795134099
12949b68600
134c5797ba7
142a4d24920
15189e00073
hexf0f9f360

4042912608 has 96 divisors (see below), whose sum is σ = 13476395520. Its totient is φ = 1155116160.

The previous prime is 4042912583. The next prime is 4042912631. The reversal of 4042912608 is 8062192404.

4042912608 is a `hidden beast` number, since 4 + 0 + 42 + 9 + 1 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328188 + ... + 340283.

It is an arithmetic number, because the mean of its divisors is an integer number (140379120).

Almost surely, 24042912608 is an apocalyptic number.

4042912608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4042912608 is an abundant number, since it is smaller than the sum of its proper divisors (9433482912).

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

4042912608 is a wasteful number, since it uses less digits than its factorization.

4042912608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668497 (or 668483 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4042912608 is about 63583.9021136640. The cubic root of 4042912608 is about 1593.0574987846.

The spelling of 4042912608 in words is "four billion, forty-two million, nine hundred twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 668471 1336942 2005413 2673884 4010826 4679297 5347768 6016239 8021652 9358594 10695536 12032478 14037891 16043304 18048717 18717188 21391072 24064956 28075782 32086608 36097434 37434376 42113673 48129912 56151564 64173216 72194868 74868752 84227346 96259824 112303128 126341019 144389736 149737504 168454692 192519648 224606256 252682038 288779472 336909384 449212512 505364076 577558944 673818768 1010728152 1347637536 2021456304 4042912608