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417420652 = 22111719231277
BaseRepresentation
bin11000111000010…
…101010101101100
31002002110011111011
4120320111111230
51323324430102
6105230435004
713226005555
oct3070252554
91062404434
10417420652
111a4694350
12b7962a64
136863098c
143d61b32c
15269a52d7
hex18e1556c

417420652 has 96 divisors (see below), whose sum is σ = 927521280. Its totient is φ = 161694720.

The previous prime is 417420649. The next prime is 417420659. The reversal of 417420652 is 256024714.

It is a super-2 number, since 2×4174206522 = 348480001432210208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (417420659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326238 + ... + 327514.

It is an arithmetic number, because the mean of its divisors is an integer number (9661680).

Almost surely, 2417420652 is an apocalyptic number.

It is an amenable number.

417420652 is an abundant number, since it is smaller than the sum of its proper divisors (510100628).

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

417420652 is a wasteful number, since it uses less digits than its factorization.

417420652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 417420652 is about 20430.8749690267. The cubic root of 417420652 is about 747.3510414098.

The spelling of 417420652 in words is "four hundred seventeen million, four hundred twenty thousand, six hundred fifty-two".

Divisors: 1 2 4 11 17 19 22 23 34 38 44 46 68 76 92 187 209 253 323 374 391 418 437 506 646 748 782 836 874 1012 1277 1292 1564 1748 2554 3553 4301 4807 5108 7106 7429 8602 9614 14047 14212 14858 17204 19228 21709 24263 28094 29371 29716 43418 48526 56188 58742 81719 86836 97052 117484 163438 238799 266893 323081 326876 412471 477598 499307 533786 558049 646162 824942 955196 998614 1067572 1116098 1292324 1649884 1997228 2232196 4537181 5492377 6138539 9074362 9486833 10984754 12277078 18148724 18973666 21969508 24554156 37947332 104355163 208710326 417420652