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4242671328 = 25376313499
BaseRepresentation
bin1111110011100010…
…0000011011100000
3101221200100000221010
43330320200123200
532142110440303
61540555100520
7210065053110
oct37470403340
911850300833
104242671328
111887971845
129a4a41740
13527c9940c
142c3683040
1519c70cc03
hexfce206e0

4242671328 has 48 divisors (see below), whose sum is σ = 12728016000. Its totient is φ = 1212191616.

The previous prime is 4242671327. The next prime is 4242671339. The reversal of 4242671328 is 8231762424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242671327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3156078 + ... + 3157421.

It is an arithmetic number, because the mean of its divisors is an integer number (265167000).

Almost surely, 24242671328 is an apocalyptic number.

4242671328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4242671328 is an abundant number, since it is smaller than the sum of its proper divisors (8485344672).

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

4242671328 is a wasteful number, since it uses less digits than its factorization.

4242671328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313519 (or 6313511 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 4242671328 is about 65135.7914513979. The cubic root of 4242671328 is about 1618.8743040792.

The spelling of 4242671328 in words is "four billion, two hundred forty-two million, six hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 6313499 12626998 18940497 25253996 37880994 44194493 50507992 75761988 88388986 101015984 132583479 151523976 176777972 202031968 265166958 303047952 353555944 530333916 606095904 707111888 1060667832 1414223776 2121335664 4242671328