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1052217621 = 34721320393
BaseRepresentation
bin111110101101111…
…001000100010101
32201022221012020000
4332231321010111
54123331430441
6252224401513
735034462600
oct7655710425
92638835200
101052217621
1149aa49744
12254476299
13139cc0aa0
149da61337
15625982b6
hex3eb79115

1052217621 has 60 divisors (see below), whose sum is σ = 1969203852. Its totient is φ = 554988672.

The previous prime is 1052217619. The next prime is 1052217631. The reversal of 1052217621 is 1267122501.

1052217621 is a `hidden beast` number, since 1 + 0 + 5 + 22 + 17 + 621 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 345402225 + 706815396 = 18585^2 + 26586^2 .

It is not a de Polignac number, because 1052217621 - 21 = 1052217619 is a prime.

It is a super-2 number, since 2×10522176212 = 2214323843885799282, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052217631) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 41401 + ... + 61793.

Almost surely, 21052217621 is an apocalyptic number.

It is an amenable number.

1052217621 is a deficient number, since it is larger than the sum of its proper divisors (916986231).

1052217621 is a wasteful number, since it uses less digits than its factorization.

1052217621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20432 (or 20416 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1052217621 is about 32437.9040784080. The cubic root of 1052217621 is about 1017.1114034644. Note that the first 3 decimals are identical.

The spelling of 1052217621 in words is "one billion, fifty-two million, two hundred seventeen thousand, six hundred twenty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 189 273 351 441 567 637 819 1053 1323 1911 2457 3969 5733 7371 17199 20393 51597 61179 142751 183537 265109 428253 550611 795327 999257 1284759 1651833 1855763 2385981 2997771 3854277 5567289 7157943 8993313 11562831 12990341 16701867 21473829 26979939 38971023 50105601 80939817 116913069 150316803 350739207 1052217621