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2905090048 = 2117228949
BaseRepresentation
bin1010110100101000…
…0010100000000000
321111110102212100201
42231022002200000
521422200340143
61200134054544
7131663600200
oct25512024000
97443385321
102905090048
111260936173
12690aaa454
13373b337c3
141d7b7c400
1512009764d
hexad282800

2905090048 has 72 divisors (see below), whose sum is σ = 6757364250. Its totient is φ = 1244995584.

The previous prime is 2905090043. The next prime is 2905090061. The reversal of 2905090048 is 8400905092.

It can be written as a sum of positive squares in only one way, i.e., 1571963904 + 1333126144 = 39648^2 + 36512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2905089989 and 2905090016.

It is not an unprimeable number, because it can be changed into a prime (2905090043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85878 + ... + 114826.

Almost surely, 22905090048 is an apocalyptic number.

2905090048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2905090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378682125).

2905090048 is an abundant number, since it is smaller than the sum of its proper divisors (3852274202).

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

2905090048 is an equidigital number, since it uses as much as digits as its factorization.

2905090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28985 (or 28958 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 2905090048 is about 53898.8872612413. The cubic root of 2905090048 is about 1426.8769845505.

The spelling of 2905090048 in words is "two billion, nine hundred five million, ninety thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 6272 7168 12544 14336 25088 28949 50176 57898 100352 115796 202643 231592 405286 463184 810572 926368 1418501 1621144 1852736 2837002 3242288 3705472 5674004 6484576 7410944 11348008 12969152 14821888 22696016 25938304 29643776 45392032 51876608 59287552 90784064 103753216 181568128 207506432 363136256 415012864 726272512 1452545024 2905090048