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2045410050 = 2352411033229
BaseRepresentation
bin111100111101010…
…0111101100000010
312021112210121002210
41321322213230002
513142111110200
6534544122550
7101454461415
oct17172475402
95245717083
102045410050
1195a642932
12491006456
132679b6508
14155919b7c
15be882650
hex79ea7b02

2045410050 has 96 divisors (see below), whose sum is σ = 5248414080. Its totient is φ = 526809600.

The previous prime is 2045410007. The next prime is 2045410067. The reversal of 2045410050 is 500145402.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2045409999 and 2045410026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631836 + ... + 635064.

It is an arithmetic number, because the mean of its divisors is an integer number (54670980).

Almost surely, 22045410050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045410050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624207040).

2045410050 is an abundant number, since it is smaller than the sum of its proper divisors (3203004030).

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

2045410050 is a wasteful number, since it uses less digits than its factorization.

2045410050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2045410050 is about 45226.2097682306. The cubic root of 2045410050 is about 1269.3852916199.

Adding to 2045410050 its reverse (500145402), we get a palindrome (2545555452).

The spelling of 2045410050 in words is "two billion, forty-five million, four hundred ten thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 103 123 150 205 206 246 309 410 515 615 618 1025 1030 1230 1545 2050 2575 3075 3090 3229 4223 5150 6150 6458 7725 8446 9687 12669 15450 16145 19374 21115 25338 32290 42230 48435 63345 80725 96870 105575 126690 132389 161450 211150 242175 264778 316725 332587 397167 484350 633450 661945 665174 794334 997761 1323890 1662935 1985835 1995522 3309725 3325870 3971670 4988805 6619450 8314675 9929175 9977610 13636067 16629350 19858350 24944025 27272134 40908201 49888050 68180335 81816402 136360670 204541005 340901675 409082010 681803350 1022705025 2045410050