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4242968976 = 2432318312099
BaseRepresentation
bin1111110011100110…
…1001000110010000
3101221200220011020010
43330321221012100
532142200001401
61541005314520
7210100432641
oct37471510620
911850804203
104242968976
111888055434
129a4b65a40
13528071a3c
142c371d6c8
1519c76aed6
hexfce69190

4242968976 has 80 divisors (see below), whose sum is σ = 11449267200. Its totient is φ = 1351447680.

The previous prime is 4242968867. The next prime is 4242968981. The reversal of 4242968976 is 6798692424.

4242968976 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 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, 2020375 + ... + 2022473.

It is an arithmetic number, because the mean of its divisors is an integer number (143115840).

Almost surely, 24242968976 is an apocalyptic number.

4242968976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242968976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724633600).

4242968976 is an abundant number, since it is smaller than the sum of its proper divisors (7206298224).

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

4242968976 is a wasteful number, since it uses less digits than its factorization.

4242968976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3958 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 4242968976 is about 65138.0762380959. The cubic root of 4242968976 is about 1618.9121610011.

The spelling of 4242968976 in words is "four billion, two hundred forty-two million, nine hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1831 2099 3662 4198 5493 6297 7324 8396 10986 12594 14648 16792 21972 25188 29296 33584 42113 43944 48277 50376 84226 87888 96554 100752 126339 144831 168452 193108 252678 289662 336904 386216 505356 579324 673808 772432 1010712 1158648 2021424 2317296 3843269 7686538 11529807 15373076 23059614 30746152 46119228 61492304 88395187 92238456 176790374 184476912 265185561 353580748 530371122 707161496 1060742244 1414322992 2121484488 4242968976