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4834281264 = 2431916731741
BaseRepresentation
bin1001000000010010…
…10100011100110000
3110110220112221012020
410200021110130300
534400034000024
62115411231440
7230540466321
oct44011243460
913426487166
104834281264
11206090a07a
12b2aba8580
135c0718177
1433c084448
151d461e979
hex120254730

4834281264 has 80 divisors (see below), whose sum is σ = 13224986880. Its totient is φ = 1517425920.

The previous prime is 4834281253. The next prime is 4834281301. The reversal of 4834281264 is 4621824384.

It is a happy number.

It is a super-2 number, since 2×48342812642 = 46740550678922875392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 136434 + ... + 168174.

It is an arithmetic number, because the mean of its divisors is an integer number (165312336).

Almost surely, 24834281264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4834281264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612493440).

4834281264 is an abundant number, since it is smaller than the sum of its proper divisors (8390705616).

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

4834281264 is a wasteful number, since it uses less digits than its factorization.

4834281264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31938 (or 31932 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 4834281264 is about 69528.9958506521. The cubic root of 4834281264 is about 1690.8716328136.

The spelling of 4834281264 in words is "four billion, eight hundred thirty-four million, two hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 167 228 304 334 456 501 668 912 1002 1336 2004 2672 3173 4008 6346 8016 9519 12692 19038 25384 31741 38076 50768 63482 76152 95223 126964 152304 190446 253928 380892 507856 603079 761784 1206158 1523568 1809237 2412316 3618474 4824632 5300747 7236948 9649264 10601494 14473896 15902241 21202988 28947792 31804482 42405976 63608964 84811952 100714193 127217928 201428386 254435856 302142579 402856772 604285158 805713544 1208570316 1611427088 2417140632 4834281264