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209493972 = 22332697211
BaseRepresentation
bin11000111110010…
…01111111010100
3112121012101201000
430133021333110
5412112301342
632442103300
75122445412
oct1437117724
9477171630
10209493972
11a8287a16
125a1aab30
133452c73c
141db742b2
15135d244c
hexc7c9fd4

209493972 has 48 divisors (see below), whose sum is σ = 545227200. Its totient is φ = 69562080.

The previous prime is 209493953. The next prime is 209493983. The reversal of 209493972 is 279394902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25447 + ... + 32657.

It is an arithmetic number, because the mean of its divisors is an integer number (11358900).

Almost surely, 2209493972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209493972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272613600).

209493972 is an abundant number, since it is smaller than the sum of its proper divisors (335733228).

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

209493972 is a wasteful number, since it uses less digits than its factorization.

209493972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 209493972 is about 14473.9065908275. The cubic root of 209493972 is about 593.9143841506.

The spelling of 209493972 in words is "two hundred nine million, four hundred ninety-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 269 538 807 1076 1614 2421 3228 4842 7211 7263 9684 14422 14526 21633 28844 29052 43266 64899 86532 129798 194697 259596 389394 778788 1939759 3879518 5819277 7759036 11638554 17457831 23277108 34915662 52373493 69831324 104746986 209493972