Search a number
-
+
2050511008 = 257131937061
BaseRepresentation
bin111101000111000…
…0101000010100000
312021220101202022011
41322032011002200
513144412323013
6535245322304
7101546025130
oct17216050240
95256352264
102050511008
119625072a7
12492866394
13268a81230
14156486ac0
15c003dc3d
hex7a3850a0

2050511008 has 96 divisors (see below), whose sum is σ = 5230189440. Its totient is φ = 768476160.

The previous prime is 2050510897. The next prime is 2050511009. The reversal of 2050511008 is 8001150502.

It is a self number, because there is not a number n which added to its sum of digits gives 2050511008.

It is not an unprimeable number, because it can be changed into a prime (2050511009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36798 + ... + 73858.

It is an arithmetic number, because the mean of its divisors is an integer number (54481140).

Almost surely, 22050511008 is an apocalyptic number.

2050511008 is a gapful number since it is divisible by the number (28) 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 2050511008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615094720).

2050511008 is an abundant number, since it is smaller than the sum of its proper divisors (3179678432).

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

2050511008 is a wasteful number, since it uses less digits than its factorization.

2050511008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37110 (or 37102 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 2050511008 is about 45282.5684783891. The cubic root of 2050511008 is about 1270.4396369925.

It can be divided in two parts, 20505 and 11008, that added together give a palindrome (31513).

The spelling of 2050511008 in words is "two billion, fifty million, five hundred eleven thousand, eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 364 416 494 532 608 728 988 1064 1456 1729 1976 2128 2912 3458 3952 4256 6916 7904 13832 27664 37061 55328 74122 148244 259427 296488 481793 518854 592976 704159 963586 1037708 1185952 1408318 1927172 2075416 2816636 3372551 3854344 4150832 4929113 5633272 6745102 7708688 8301664 9154067 9858226 11266544 13490204 15417376 18308134 19716452 22533088 26980408 36616268 39432904 53960816 64078469 73232536 78865808 107921632 128156938 146465072 157731616 256313876 292930144 512627752 1025255504 2050511008