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2083292496 = 2432614872
BaseRepresentation
bin111110000101100…
…1000010101010000
312101012002020001100
41330023020111100
513231310324441
6542420104400
7102424460025
oct17413102520
95335066040
102083292496
11979a6753a
124a1835100
132727bb26c
1415a97b54c
15c2d66cb6
hex7c2c8550

2083292496 has 90 divisors (see below), whose sum is σ = 5938097802. Its totient is φ = 681644160.

The previous prime is 2083292417. The next prime is 2083292501. The reversal of 2083292496 is 6942923802.

It can be written as a sum of positive squares in only one way, i.e., 1229484096 + 853808400 = 35064^2 + 29220^2 .

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 4277565 + ... + 4278051.

Almost surely, 22083292496 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 2083292496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969048901).

2083292496 is an abundant number, since it is smaller than the sum of its proper divisors (3854805306).

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

2083292496 is an equidigital number, since it uses as much as digits as its factorization.

2083292496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2083292496 is about 45643.0991059985. The cubic root of 2083292496 is about 1277.1740421924.

The spelling of 2083292496 in words is "two billion, eighty-three million, two hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 487 488 549 732 974 976 1098 1461 1464 1948 2196 2922 2928 3896 4383 4392 5844 7792 8766 8784 11688 17532 23376 29707 35064 59414 70128 89121 118828 178242 237169 237656 267363 356484 474338 475312 534726 711507 712968 948676 1069452 1423014 1425936 1897352 2134521 2138904 2846028 3794704 4269042 4277808 5692056 8538084 11384112 14467309 17076168 28934618 34152336 43401927 57869236 86803854 115738472 130205781 173607708 231476944 260411562 347215416 520823124 694430832 1041646248 2083292496