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4772424480 = 253564115511
BaseRepresentation
bin1000111000111010…
…10110101100100000
3110022121011021122020
410130131112230200
534233220040410
62105321341440
7226156636665
oct43435265440
913277137566
104772424480
112029a0016a
12b12337880
135b096b015
14333b81a6c
151cdea1a70
hex11c756b20

4772424480 has 96 divisors (see below), whose sum is σ = 15057560448. Its totient is φ = 1270579200.

The previous prime is 4772424479. The next prime is 4772424521. The reversal of 4772424480 is 844242774.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 299925 + ... + 315435.

It is an arithmetic number, because the mean of its divisors is an integer number (156849588).

Almost surely, 24772424480 is an apocalyptic number.

4772424480 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 4772424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528780224).

4772424480 is an abundant number, since it is smaller than the sum of its proper divisors (10285135968).

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

4772424480 is a wasteful number, since it uses less digits than its factorization.

4772424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16170 (or 16162 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 42.

The square root of 4772424480 is about 69082.7364831475. The cubic root of 4772424480 is about 1683.6288340060.

The spelling of 4772424480 in words is "four billion, seven hundred seventy-two million, four hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 641 1282 1923 2564 3205 3846 5128 6410 7692 9615 10256 12820 15384 15511 19230 20512 25640 30768 31022 38460 46533 51280 61536 62044 76920 77555 93066 102560 124088 153840 155110 186132 232665 248176 307680 310220 372264 465330 496352 620440 744528 930660 1240880 1489056 1861320 2481760 3722640 7445280 9942551 19885102 29827653 39770204 49712755 59655306 79540408 99425510 119310612 149138265 159080816 198851020 238621224 298276530 318161632 397702040 477242448 596553060 795404080 954484896 1193106120 1590808160 2386212240 4772424480