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76414356 = 22327329077
BaseRepresentation
bin1001000110111…
…11110110010100
312022210020210100
410203133312110
5124030224411
611325454100
71615340244
oct443376624
9168706710
1076414356
113a152267
1221711330
1312aa62c5
14a211b24
156a96456
hex48dfd94

76414356 has 36 divisors (see below), whose sum is σ = 195811252. Its totient is φ = 25121664.

The previous prime is 76414343. The next prime is 76414363. The reversal of 76414356 is 65341467.

It is a happy number.

76414356 is a `hidden beast` number, since 7 + 641 + 4 + 3 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52794756 + 23619600 = 7266^2 + 4860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 76414356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11911 + ... + 17166.

Almost surely, 276414356 is an apocalyptic number.

It is an amenable number.

76414356 is an abundant number, since it is smaller than the sum of its proper divisors (119396896).

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

76414356 is a wasteful number, since it uses less digits than its factorization.

76414356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29160 (or 29155 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 76414356 is about 8741.5305296041. The cubic root of 76414356 is about 424.3507614256.

The spelling of 76414356 in words is "seventy-six million, four hundred fourteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 29077 58154 87231 116308 174462 261693 348924 523386 1046772 2122621 4245242 6367863 8490484 12735726 19103589 25471452 38207178 76414356