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2050634432 = 26711319181
BaseRepresentation
bin111101000111010…
…0011001011000000
312021220122000121102
41322032203023000
513144430300212
6535252113532
7101550051020
oct17216431300
95256560542
102050634432
11962591000
124929058a8
13268ac5472
141564b9a80
15c00655c2
hex7a3a32c0

2050634432 has 224 divisors, whose sum is σ = 5414223360. Its totient is φ = 752716800.

The previous prime is 2050634423. The next prime is 2050634441. The reversal of 2050634432 is 2344360502.

It is an interprime number because it is at equal distance from previous prime (2050634423) and next prime (2050634441).

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2050634395 and 2050634404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11329382 + ... + 11329562.

It is an arithmetic number, because the mean of its divisors is an integer number (24170640).

Almost surely, 22050634432 is an apocalyptic number.

2050634432 is a gapful number since it is divisible by the number (22) 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 2050634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707111680).

2050634432 is an abundant number, since it is smaller than the sum of its proper divisors (3363588928).

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

2050634432 is a wasteful number, since it uses less digits than its factorization.

2050634432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 2050634432 is about 45283.9312781035. The cubic root of 2050634432 is about 1270.4651265079.

Adding to 2050634432 its reverse (2344360502), we get a palindrome (4394994934).

The spelling of 2050634432 in words is "two billion, fifty million, six hundred thirty-four thousand, four hundred thirty-two".