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4819298304 = 2113799929
BaseRepresentation
bin1000111110100000…
…01010100000000000
3110102212100201102210
410133100022200000
534332220021204
62114114142120
7230266234242
oct43720124000
913385321383
104819298304
112053406167
12b25b81940
135ba5a0502
1433a0a4092
151d3160389
hex11f40a800

4819298304 has 96 divisors (see below), whose sum is σ = 13012272000. Its totient is φ = 1585938432.

The previous prime is 4819298299. The next prime is 4819298371. The reversal of 4819298304 is 4038929184.

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

It is a super-2 number, since 2×48192983042 = 46451272285874552832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480412 + ... + 490340.

It is an arithmetic number, because the mean of its divisors is an integer number (135544500).

Almost surely, 24819298304 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 4819298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506136000).

4819298304 is an abundant number, since it is smaller than the sum of its proper divisors (8192973696).

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

4819298304 is an equidigital number, since it uses as much as digits as its factorization.

4819298304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10033 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 4819298304 is about 69421.1661094799. The cubic root of 4819298304 is about 1689.1229771352.

The spelling of 4819298304 in words is "four billion, eight hundred nineteen million, two hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1024 1264 1536 1896 2048 2528 3072 3792 5056 6144 7584 9929 10112 15168 19858 20224 29787 30336 39716 40448 59574 60672 79432 80896 119148 121344 158864 161792 238296 242688 317728 476592 485376 635456 784391 953184 1270912 1568782 1906368 2353173 2541824 3137564 3812736 4706346 5083648 6275128 7625472 9412692 10167296 12550256 15250944 18825384 20334592 25100512 30501888 37650768 50201024 61003776 75301536 100402048 150603072 200804096 301206144 401608192 602412288 803216384 1204824576 1606432768 2409649152 4819298304