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4834285920 = 2532517197479
BaseRepresentation
bin1001000000010010…
…10101100101100000
3110110220120011120200
410200021111211200
534400034122140
62115411305200
7230540516022
oct44011254540
913426504520
104834285920
112060912622
12b2abab200
135c071a319
1433c086012
151d4621030
hex120255960

4834285920 has 144 divisors (see below), whose sum is σ = 17467500960. Its totient is φ = 1213304832.

The previous prime is 4834285871. The next prime is 4834285921. The reversal of 4834285920 is 295824384.

4834285920 is a `hidden beast` number, since 4 + 8 + 34 + 28 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4834285921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74260 + ... + 123219.

It is an arithmetic number, because the mean of its divisors is an integer number (121302090).

Almost surely, 24834285920 is an apocalyptic number.

4834285920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4834285920 is an abundant number, since it is smaller than the sum of its proper divisors (12633215040).

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

4834285920 is a wasteful number, since it uses less digits than its factorization.

4834285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197517 (or 197506 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4834285920 is about 69529.0293330778. The cubic root of 4834285920 is about 1690.8721756517.

The spelling of 4834285920 in words is "four billion, eight hundred thirty-four million, two hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 197479 394958 592437 789916 987395 1184874 1579832 1777311 1974790 2369748 2962185 3159664 3357143 3554622 3949580 4739496 5924370 6319328 6714286 7109244 7899160 8886555 9478992 10071429 11848740 13428572 14218488 15798320 16785715 17773110 18957984 20142858 23697480 26857144 28436976 30214287 31596640 33571430 35546220 40285716 47394960 50357145 53714288 56873952 60428574 67142860 71092440 80571432 94789920 100714290 107428576 120857148 134285720 142184880 151071435 161142864 201428580 241714296 268571440 284369760 302142870 322285728 402857160 483428592 537142880 604285740 805714320 966857184 1208571480 1611428640 2417142960 4834285920