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1045214208 = 21032234931
BaseRepresentation
bin111110010011001…
…011010000000000
32200211202101100100
4332103023100000
54120033323313
6251414322400
734621113513
oct7623132000
92624671310
101045214208
11496aa59a5
12252059400
1313870b15c
149cb5ad7a
1561b63173
hex3e4cb400

1045214208 has 132 divisors (see below), whose sum is σ = 3149890848. Its totient is φ = 333189120.

The previous prime is 1045214173. The next prime is 1045214227. The reversal of 1045214208 is 8024125401.

1045214208 is a `hidden beast` number, since 1 + 0 + 452 + 1 + 4 + 208 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209503 + ... + 214433.

Almost surely, 21045214208 is an apocalyptic number.

1045214208 is a gapful number since it is divisible by the number (18) 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 1045214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574945424).

1045214208 is an abundant number, since it is smaller than the sum of its proper divisors (2104676640).

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

1045214208 is a wasteful number, since it uses less digits than its factorization.

1045214208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1045214208 is about 32329.7727799006. The cubic root of 1045214208 is about 1014.8497947223.

Adding to 1045214208 its reverse (8024125401), we get a palindrome (9069339609).

The spelling of 1045214208 in words is "one billion, forty-five million, two hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2208 2304 2944 3072 3312 4416 4608 4931 5888 6624 8832 9216 9862 11776 13248 14793 17664 19724 23552 26496 29586 35328 39448 44379 52992 59172 70656 78896 88758 105984 113413 118344 157792 177516 211968 226826 236688 315584 340239 355032 453652 473376 631168 680478 710064 907304 946752 1020717 1262336 1360956 1420128 1814608 1893504 2041434 2524672 2721912 2840256 3629216 3787008 4082868 5049344 5443824 5680512 7258432 7574016 8165736 10887648 11361024 14516864 15148032 16331472 21775296 22722048 29033728 32662944 43550592 45444096 58067456 65325888 87101184 116134912 130651776 174202368 261303552 348404736 522607104 1045214208