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213282496 = 2672232957
BaseRepresentation
bin11001011011001…
…10111011000000
3112212022212120201
430231212323000
5414100014441
633055214544
75166604600
oct1455467300
9485285521
10213282496
11aa435329
125b517454
1335257c7b
142047cc00
1513acec31
hexcb66ec0

213282496 has 84 divisors (see below), whose sum is σ = 513911088. Its totient is φ = 87403008.

The previous prime is 213282491. The next prime is 213282497. The reversal of 213282496 is 694282312.

It is a happy number.

213282496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213282491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70650 + ... + 73606.

Almost surely, 2213282496 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 213282496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256955544).

213282496 is an abundant number, since it is smaller than the sum of its proper divisors (300628592).

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

213282496 is a wasteful number, since it uses less digits than its factorization.

213282496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2989 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 213282496 is about 14604.1944659745. The cubic root of 213282496 is about 597.4731660480.

The spelling of 213282496 in words is "two hundred thirteen million, two hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 161 184 196 224 322 368 392 448 644 736 784 1127 1288 1472 1568 2254 2576 2957 3136 4508 5152 5914 9016 10304 11828 18032 20699 23656 36064 41398 47312 68011 72128 82796 94624 136022 144893 165592 189248 272044 289786 331184 476077 544088 579572 662368 952154 1088176 1159144 1324736 1904308 2176352 2318288 3332539 3808616 4352704 4636576 6665078 7617232 9273152 13330156 15234464 26660312 30468928 53320624 106641248 213282496