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2930604048 = 2432295313241
BaseRepresentation
bin1010111010101101…
…0111100000010000
321120020110002222200
42232223113200100
522000213312143
61202445003200
7132423503061
oct25653274020
97506402880
102930604048
111274282219
12699553500
133791c7948
141db300568
151224371d3
hexaead7810

2930604048 has 120 divisors (see below), whose sum is σ = 8645172120. Its totient is φ = 925317120.

The previous prime is 2930604043. The next prime is 2930604049. The reversal of 2930604048 is 8404060392.

It is a happy number.

2930604048 is a `hidden beast` number, since 2 + 9 + 3 + 0 + 604 + 0 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1732890384 + 1197713664 = 41628^2 + 34608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2930604043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214708 + ... + 227948.

It is an arithmetic number, because the mean of its divisors is an integer number (72043101).

Almost surely, 22930604048 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 2930604048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322586060).

2930604048 is an abundant number, since it is smaller than the sum of its proper divisors (5714568072).

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

2930604048 is a wasteful number, since it uses less digits than its factorization.

2930604048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13337 (or 13328 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2930604048 is about 54135.0537821844. The cubic root of 2930604048 is about 1431.0420051339.

The spelling of 2930604048 in words is "two billion, nine hundred thirty million, six hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 53 58 72 87 106 116 144 159 174 212 232 261 318 348 424 464 477 522 636 696 848 954 1044 1272 1392 1537 1908 2088 2544 3074 3816 4176 4611 6148 7632 9222 12296 13241 13833 18444 24592 26482 27666 36888 39723 52964 55332 73776 79446 105928 110664 119169 158892 211856 221328 238338 317784 383989 476676 635568 701773 767978 953352 1151967 1403546 1535956 1906704 2105319 2303934 2807092 3071912 3455901 4210638 4607868 5614184 6143824 6315957 6911802 8421276 9215736 11228368 12631914 13823604 16842552 18431472 20351417 25263828 27647208 33685104 40702834 50527656 55294416 61054251 81405668 101055312 122108502 162811336 183162753 244217004 325622672 366325506 488434008 732651012 976868016 1465302024 2930604048