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214757928 = 233271138737
BaseRepresentation
bin11001100110011…
…11001000101000
3112222002211111100
430303033020220
5414434223203
633151001400
75215261260
oct1463171050
9488084440
10214757928
111002528a0
125bb09260
13356536c8
14207447a0
1513cc1ea3
hexcccf228

214757928 has 96 divisors (see below), whose sum is σ = 725175360. Its totient is φ = 55779840.

The previous prime is 214757911. The next prime is 214757941. The reversal of 214757928 is 829757412.

It is a happy number.

It is a super-2 number, since 2×2147579282 = 92241935277706368, which contains 22 as substring.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13825 + ... + 24912.

It is an arithmetic number, because the mean of its divisors is an integer number (7553910).

Almost surely, 2214757928 is an apocalyptic number.

214757928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214757928 is an abundant number, since it is smaller than the sum of its proper divisors (510417432).

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

214757928 is a wasteful number, since it uses less digits than its factorization.

214757928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38767 (or 38760 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 214757928 is about 14654.6213871256. The cubic root of 214757928 is about 598.8477218417.

It can be divided in two parts, 21475 and 7928, that added together give a triangular number (29403 = T242).

The spelling of 214757928 in words is "two hundred fourteen million, seven hundred fifty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 38737 77474 116211 154948 232422 271159 309896 348633 426107 464844 542318 697266 813477 852214 929688 1084636 1278321 1394532 1626954 1704428 2169272 2440431 2556642 2789064 2982749 3253908 3408856 3834963 4880862 5113284 5965498 6507816 7669926 8948247 9761724 10226568 11930996 15339852 17896494 19523448 23861992 26844741 30679704 35792988 53689482 71585976 107378964 214757928