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4830842640 = 2435131548347
BaseRepresentation
bin1000111111111000…
…01100111100010000
3110110200002020021210
410133330030330100
534343143431030
62115205420120
7230466325221
oct43774147420
913420066253
104830842640
112059980638
12b29a0a640
135bcab2c90
1433b82b248
151d4190bb0
hex11ff0cf10

4830842640 has 80 divisors (see below), whose sum is σ = 16127592768. Its totient is φ = 1189129728.

The previous prime is 4830842579. The next prime is 4830842641. The reversal of 4830842640 is 462480384.

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

It is a super-2 number, since 2×48308426402 = 46674081224884339200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4830842641) 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 15 ways as a sum of consecutive naturals, for example, 771054 + ... + 777293.

Almost surely, 24830842640 is an apocalyptic number.

4830842640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4830842640 is an abundant number, since it is smaller than the sum of its proper divisors (11296750128).

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

4830842640 is a wasteful number, since it uses less digits than its factorization.

4830842640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548376 (or 1548370 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4830842640 is about 69504.2634663515. The cubic root of 4830842640 is about 1690.4706320879.

The spelling of 4830842640 in words is "four billion, eight hundred thirty million, eight hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 1548347 3096694 4645041 6193388 7741735 9290082 12386776 15483470 18580164 20128511 23225205 24773552 30966940 37160328 40257022 46450410 60385533 61933880 74320656 80514044 92900820 100642555 120771066 123867760 161028088 185801640 201285110 241542132 301927665 322056176 371603280 402570220 483084264 603855330 805140440 966168528 1207710660 1610280880 2415421320 4830842640