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428188815 = 33523239577
BaseRepresentation
bin11001100001011…
…010010010001111
31002211201020122000
4121201122102033
51334104020230
6110253323343
713416354615
oct3141322217
91084636560
10428188815
111aa77965a
12bb496553
136a931082
1440c216b5
15278d0b60
hex1985a48f

428188815 has 64 divisors (see below), whose sum is σ = 799027200. Its totient is φ = 217147392.

The previous prime is 428188801. The next prime is 428188837. The reversal of 428188815 is 518881824.

It is not a de Polignac number, because 428188815 - 27 = 428188687 is a prime.

It is a super-2 number, since 2×4281888152 = 366691322582208450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 741807 + ... + 742383.

It is an arithmetic number, because the mean of its divisors is an integer number (12484800).

Almost surely, 2428188815 is an apocalyptic number.

428188815 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428188815 is a deficient number, since it is larger than the sum of its proper divisors (370838385).

428188815 is a wasteful number, since it uses less digits than its factorization.

428188815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its digits is 163840, while the sum is 45.

The square root of 428188815 is about 20692.7237211538. The cubic root of 428188815 is about 753.7230083649.

It can be divided in two parts, 4281 and 88815, that added together give a triangular number (93096 = T431).

The spelling of 428188815 in words is "four hundred twenty-eight million, one hundred eighty-eight thousand, eight hundred fifteen".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 239 345 577 621 717 1035 1195 1731 2151 2885 3105 3585 5193 5497 6453 8655 10755 13271 15579 16491 25965 27485 32265 39813 49473 66355 77895 82455 119439 137903 148419 199065 247365 358317 413709 597195 689515 742095 1241127 1791585 2068545 3171769 3723381 6205635 9515307 15858845 18616905 28545921 47576535 85637763 142729605 428188815