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2041791232 = 2813679157
BaseRepresentation
bin111100110110011…
…0100001100000000
312021021222202000111
41321230310030000
513140144304412
6534334401104
7101411640055
oct17154641400
95237882014
102041791232
119585a0a78
1248b960194
1326701a2c0
1415525702c
15be3ba2a7
hex79b34300

2041791232 has 72 divisors (see below), whose sum is σ = 4455110576. Its totient is φ = 928198656.

The previous prime is 2041791221. The next prime is 2041791361. The reversal of 2041791232 is 2321971402.

It is a super-2 number, since 2×20417912322 = 8337822870144155648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2041791194 and 2041791203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218398 + ... + 227554.

Almost surely, 22041791232 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 2041791232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227555288).

2041791232 is an abundant number, since it is smaller than the sum of its proper divisors (2413319344).

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

2041791232 is an equidigital number, since it uses as much as digits as its factorization.

2041791232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2041791232 is about 45186.1840831907. The cubic root of 2041791232 is about 1268.6362346260.

The spelling of 2041791232 in words is "two billion, forty-one million, seven hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 208 256 268 416 536 832 871 1072 1664 1742 2144 3328 3484 4288 6968 8576 9157 13936 17152 18314 27872 36628 55744 73256 111488 119041 146512 222976 238082 293024 476164 586048 613519 952328 1172096 1227038 1904656 2344192 2454076 3809312 4908152 7618624 7975747 9816304 15237248 15951494 19632608 30474496 31902988 39265216 63805976 78530432 127611952 157060864 255223904 510447808 1020895616 2041791232