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211049076 = 223721512377
BaseRepresentation
bin11001001010001…
…01101001110100
3112201010101220110
430211011221310
5413012032301
632535303020
75141613300
oct1445055164
9481111813
10211049076
11a914a327
125a81aa70
1334955514
142005ad00
15137dd0d6
hexc945a74

211049076 has 72 divisors (see below), whose sum is σ = 576883776. Its totient is φ = 59875200.

The previous prime is 211049071. The next prime is 211049087. The reversal of 211049076 is 670940112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211049071) by changing a digit.

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, 87600 + ... + 89976.

Almost surely, 2211049076 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 211049076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288441888).

211049076 is an abundant number, since it is smaller than the sum of its proper divisors (365834700).

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

211049076 is a wasteful number, since it uses less digits than its factorization.

211049076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 211049076 is about 14527.5282137052. The cubic root of 211049076 is about 595.3803335342.

Adding to 211049076 its reverse (670940112), we get a palindrome (881989188).

The spelling of 211049076 in words is "two hundred eleven million, forty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 151 196 294 302 453 588 604 906 1057 1812 2114 2377 3171 4228 4754 6342 7131 7399 9508 12684 14262 14798 16639 22197 28524 29596 33278 44394 49917 66556 88788 99834 116473 199668 232946 349419 358927 465892 698838 717854 1076781 1397676 1435708 2153562 2512489 4307124 5024978 7537467 10049956 15074934 17587423 30149868 35174846 52762269 70349692 105524538 211049076