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4834429440 = 2935629483
BaseRepresentation
bin1001000000010011…
…11000101000000000
3110110220211110110020
410200021320220000
534400103220230
62115414333440
7230541654321
oct44011705000
913426743406
104834429440
112060a00435
12b2b05a280
135c076a749
1433c0c2448
151d464d810
hex120278a00

4834429440 has 80 divisors (see below), whose sum is σ = 15455091168. Its totient is φ = 1289179136.

The previous prime is 4834429403. The next prime is 4834429441. The reversal of 4834429440 is 449244384.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 4834429392 and 4834429401.

It is not an unprimeable number, because it can be changed into a prime (4834429441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307062 + ... + 322421.

Almost surely, 24834429440 is an apocalyptic number.

4834429440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4834429440 is an abundant number, since it is smaller than the sum of its proper divisors (10620661728).

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

4834429440 is an equidigital number, since it uses as much as digits as its factorization.

4834429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629509 (or 629493 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 4834429440 is about 69530.0614123129. The cubic root of 4834429440 is about 1690.8889083245. Note that the first 3 decimals are identical.

The spelling of 4834429440 in words is "four billion, eight hundred thirty-four million, four hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 629483 1258966 1888449 2517932 3147415 3776898 5035864 6294830 7553796 9442245 10071728 12589660 15107592 18884490 20143456 25179320 30215184 37768980 40286912 50358640 60430368 75537960 80573824 100717280 120860736 151075920 161147648 201434560 241721472 302151840 322295296 402869120 483442944 604303680 805738240 966885888 1208607360 1611476480 2417214720 4834429440