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2045063424 = 28322311941
BaseRepresentation
bin111100111100101…
…0011000100000000
312021112010222121210
41321321103010000
513142014012144
6534532450120
7101451516015
oct17171230400
95245128553
102045063424
1195a426468
12490a79940
132678c4801
1415586970c
15be814ab9
hex79e53100

2045063424 has 72 divisors (see below), whose sum is σ = 5467716352. Its totient is φ = 678574080.

The previous prime is 2045063387. The next prime is 2045063479. The reversal of 2045063424 is 4243605402.

It is a junction number, because it is equal to n+sod(n) for n = 2045063391 and 2045063400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165294 + ... + 177234.

Almost surely, 22045063424 is an apocalyptic number.

2045063424 is a gapful number since it is divisible by the number (24) 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 2045063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733858176).

2045063424 is an abundant number, since it is smaller than the sum of its proper divisors (3422652928).

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

2045063424 is a wasteful number, since it uses less digits than its factorization.

2045063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12183 (or 12169 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2045063424 is about 45222.3774695670. The cubic root of 2045063424 is about 1269.3135819883.

Adding to 2045063424 its reverse (4243605402), we get a palindrome (6288668826).

The spelling of 2045063424 in words is "two billion, forty-five million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 669 768 892 1338 1784 2676 3568 5352 7136 10704 11941 14272 21408 23882 28544 35823 42816 47764 57088 71646 85632 95528 143292 171264 191056 286584 382112 573168 764224 1146336 1528448 2292672 2662843 3056896 4585344 5325686 7988529 9170688 10651372 15977058 21302744 31954116 42605488 63908232 85210976 127816464 170421952 255632928 340843904 511265856 681687808 1022531712 2045063424