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428952366 = 232612271721
BaseRepresentation
bin11001100100010…
…100101100101110
31002220011001000200
4121210110230232
51334302433431
6110321534330
713426014663
oct3144245456
91086131020
10428952366
11200150297
12bb7a43a6
136ab3a78b
1440d7da6a
15279d1ee6
hex19914b2e

428952366 has 48 divisors (see below), whose sum is σ = 949345488. Its totient is φ = 139939200.

The previous prime is 428952317. The next prime is 428952367. The reversal of 428952366 is 663259824.

428952366 is a `hidden beast` number, since 4 + 289 + 5 + 2 + 366 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428952367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248386 + ... + 250106.

It is an arithmetic number, because the mean of its divisors is an integer number (19778031).

Almost surely, 2428952366 is an apocalyptic number.

428952366 is an abundant number, since it is smaller than the sum of its proper divisors (520393122).

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

428952366 is a wasteful number, since it uses less digits than its factorization.

428952366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2014 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 428952366 is about 20711.1652496908. The cubic root of 428952366 is about 754.1707580431.

The spelling of 428952366 in words is "four hundred twenty-eight million, nine hundred fifty-two thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 61 122 183 227 366 454 549 681 1098 1362 1721 2043 3442 4086 5163 10326 13847 15489 27694 30978 41541 83082 104981 124623 209962 249246 314943 390667 629886 781334 944829 1172001 1889658 2344002 3516003 7032006 23830687 47661374 71492061 142984122 214476183 428952366