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4272960976 = 242373159059
BaseRepresentation
bin1111111010110000…
…0011010111010000
3102000210022220111221
43332230003113100
532222334222401
61544000214424
7210613366114
oct37654032720
912023286457
104272960976
1118a2a7a909
129b300a414
1353134319b
142c76c9744
151a01e27a1
hexfeb035d0

4272960976 has 40 divisors (see below), whose sum is σ = 8757207360. Its totient is φ = 2015582976.

The previous prime is 4272960973. The next prime is 4272961003. The reversal of 4272960976 is 6790692724.

It is a happy number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4272960973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52666 + ... + 106393.

It is an arithmetic number, because the mean of its divisors is an integer number (218930184).

Almost surely, 24272960976 is an apocalyptic number.

4272960976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4272960976 is an abundant number, since it is smaller than the sum of its proper divisors (4484246384).

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

4272960976 is a wasteful number, since it uses less digits than its factorization.

4272960976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159163 (or 159157 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The square root of 4272960976 is about 65367.8894871174. The cubic root of 4272960976 is about 1622.7177082087.

The spelling of 4272960976 in words is "four billion, two hundred seventy-two million, nine hundred sixty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 73 92 146 184 292 368 584 1168 1679 3358 6716 13432 26864 159059 318118 636236 1272472 2544944 3658357 7316714 11611307 14633428 23222614 29266856 46445228 58533712 92890456 185780912 267060061 534120122 1068240244 2136480488 4272960976