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2051032806 = 233715091051
BaseRepresentation
bin111101001000000…
…0100011011100110
312021221101021002000
41322100010123212
513200031022211
6535304430130
7101553330324
oct17220043346
95257337060
102051032806
11962833339
12492a78346
13268c048a4
14156580d14
15c00e3656
hex7a4046e6

2051032806 has 64 divisors (see below), whose sum is σ = 4635532800. Its totient is φ = 672084000.

The previous prime is 2051032799. The next prime is 2051032807. The reversal of 2051032806 is 6082301502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2051032806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051032807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950981 + ... + 1952031.

It is an arithmetic number, because the mean of its divisors is an integer number (72430200).

Almost surely, 22051032806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051032806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317766400).

2051032806 is an abundant number, since it is smaller than the sum of its proper divisors (2584499994).

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

2051032806 is a wasteful number, since it uses less digits than its factorization.

2051032806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2051032806 is about 45288.3296887841. The cubic root of 2051032806 is about 1270.5473916995.

The spelling of 2051032806 in words is "two billion, fifty-one million, thirty-two thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 509 639 1018 1051 1278 1527 1917 2102 3054 3153 3834 4581 6306 9162 9459 13743 18918 27486 28377 36139 56754 72278 74621 108417 149242 216834 223863 325251 447726 534959 650502 671589 975753 1069918 1343178 1604877 1951506 2014767 3209754 4029534 4814631 9629262 14443893 28887786 37982089 75964178 113946267 227892534 341838801 683677602 1025516403 2051032806