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211056496 = 24717110849
BaseRepresentation
bin11001001010001…
…11011101110000
3112201010210002021
430211013131300
5413012301441
632535401224
75141644030
oct1445073560
9481123067
10211056496
11a9154962
125a823214
1334958a01
142005d8c0
15137e03d1
hexc947770

211056496 has 40 divisors (see below), whose sum is σ = 494834400. Its totient is φ = 85131264.

The previous prime is 211056493. The next prime is 211056509. The reversal of 211056496 is 694650112.

211056496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211056493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53521 + ... + 57328.

It is an arithmetic number, because the mean of its divisors is an integer number (12370860).

Almost surely, 2211056496 is an apocalyptic number.

It is an amenable number.

211056496 is an abundant number, since it is smaller than the sum of its proper divisors (283777904).

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

211056496 is a wasteful number, since it uses less digits than its factorization.

211056496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110881 (or 110875 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 211056496 is about 14527.7835886965. The cubic root of 211056496 is about 595.3873108534.

The spelling of 211056496 in words is "two hundred eleven million, fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 110849 221698 443396 775943 886792 1551886 1773584 1884433 3103772 3768866 6207544 7537732 12415088 13191031 15075464 26382062 30150928 52764124 105528248 211056496