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2032126836 = 2231933126927
BaseRepresentation
bin111100100011111…
…1100101101110100
312020121210201221220
41321013330231310
513130211024321
6533351310340
7101233536015
oct17107745564
95217721856
102032126836
1195309aa73
1248867b3b0
1326501541c
14153c5d00c
15bd60b9c6
hex791fcb74

2032126836 has 48 divisors (see below), whose sum is σ = 5006453760. Its totient is φ = 639761760.

The previous prime is 2032126823. The next prime is 2032126847. The reversal of 2032126836 is 6386212302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2032126797 and 2032126806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62005 + ... + 88931.

It is an arithmetic number, because the mean of its divisors is an integer number (104301120).

Almost surely, 22032126836 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 2032126836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503226880).

2032126836 is an abundant number, since it is smaller than the sum of its proper divisors (2974326924).

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

2032126836 is a wasteful number, since it uses less digits than its factorization.

2032126836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27284 (or 27282 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2032126836 is about 45079.1175157633. The cubic root of 2032126836 is about 1266.6314592553.

The spelling of 2032126836 in words is "two billion, thirty-two million, one hundred twenty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 331 662 993 1324 1986 3972 6289 12578 18867 25156 26927 37734 53854 75468 80781 107708 161562 323124 511613 1023226 1534839 2046452 3069678 6139356 8912837 17825674 26738511 35651348 53477022 106954044 169343903 338687806 508031709 677375612 1016063418 2032126836