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212489928 = 23327421607
BaseRepresentation
bin11001010101001…
…01011011001000
3112210211121101100
430222211123020
5413344134203
633030221400
75160064110
oct1452453310
9483747340
10212489928
11a9a43912
125b1b4860
133503b2b1
1420314040
15139c4ea3
hexcaa56c8

212489928 has 48 divisors (see below), whose sum is σ = 657708480. Its totient is φ = 60711264.

The previous prime is 212489917. The next prime is 212489947. The reversal of 212489928 is 829984212.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 210300 + ... + 211307.

It is an arithmetic number, because the mean of its divisors is an integer number (13702260).

Almost surely, 2212489928 is an apocalyptic number.

212489928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212489928 is an abundant number, since it is smaller than the sum of its proper divisors (445218552).

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

212489928 is a wasteful number, since it uses less digits than its factorization.

212489928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421626 (or 421619 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 212489928 is about 14577.0342662697. The cubic root of 212489928 is about 596.7321677655.

The spelling of 212489928 in words is "two hundred twelve million, four hundred eighty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 421607 843214 1264821 1686428 2529642 2951249 3372856 3794463 5059284 5902498 7588926 8853747 10118568 11804996 15177852 17707494 23609992 26561241 30355704 35414988 53122482 70829976 106244964 212489928