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4731972080 = 2451152110321
BaseRepresentation
bin1000110100000110…
…00010100111110000
3110012210001002101012
410122003002213300
534142341101310
62101314330052
7225156045653
oct43203024760
913183032335
104731972080
112009090730
12b00889928
135a54765a4
1432c65189a
151ca660c05
hex11a0c29f0

4731972080 has 80 divisors (see below), whose sum is σ = 12026203488. Its totient is φ = 1717248000.

The previous prime is 4731972053. The next prime is 4731972101. The reversal of 4731972080 is 802791374.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453320 + ... + 463640.

Almost surely, 24731972080 is an apocalyptic number.

4731972080 is a gapful number since it is divisible by the number (40) 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 4731972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013101744).

4731972080 is an abundant number, since it is smaller than the sum of its proper divisors (7294231408).

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

4731972080 is a wasteful number, since it uses less digits than its factorization.

4731972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10866 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 4731972080 is about 68789.3311495322. The cubic root of 4731972080 is about 1678.8583608104.

The spelling of 4731972080 in words is "four billion, seven hundred thirty-one million, nine hundred seventy-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 521 880 1042 2084 2605 4168 5210 5731 8336 10321 10420 11462 20642 20840 22924 28655 41284 41680 45848 51605 57310 82568 91696 103210 113531 114620 165136 206420 227062 229240 412840 454124 458480 567655 825680 908248 1135310 1816496 2270620 4541240 5377241 9082480 10754482 21508964 26886205 43017928 53772410 59149651 86035856 107544820 118299302 215089640 236598604 295748255 430179280 473197208 591496510 946394416 1182993020 2365986040 4731972080