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76214208 = 263728101
BaseRepresentation
bin1001000101011…
…10111111000000
312022102002020110
410202232333000
5124002323313
611321311320
71613544600
oct442567700
9168362213
1076214208
113a025954
1221635540
1312a36185
14a19cc00
156a56ec3
hex48aefc0

76214208 has 84 divisors (see below), whose sum is σ = 234601512. Its totient is φ = 21772800.

The previous prime is 76214207. The next prime is 76214221. The reversal of 76214208 is 80241267.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76214207) 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 11 ways as a sum of consecutive naturals, for example, 5358 + ... + 13458.

Almost surely, 276214208 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 76214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117300756).

76214208 is an abundant number, since it is smaller than the sum of its proper divisors (158387304).

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

76214208 is a wasteful number, since it uses less digits than its factorization.

76214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8130 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 76214208 is about 8730.0749137679. The cubic root of 76214208 is about 423.9799444649.

The spelling of 76214208 in words is "seventy-six million, two hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 8101 9408 16202 24303 32404 48606 56707 64808 97212 113414 129616 170121 194424 226828 259232 340242 388848 396949 453656 518464 680484 777696 793898 907312 1190847 1360968 1555392 1587796 1814624 2381694 2721936 3175592 3629248 4763388 5443872 6351184 9526776 10887744 12702368 19053552 25404736 38107104 76214208