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76414428 = 22341912413
BaseRepresentation
bin1001000110111…
…11110111011100
312022210020220000
410203133313130
5124030230203
611325454300
71615340406
oct443376734
9168706800
1076414428
113a152322
1221711390
1312aa634c
14a211b76
156a964a3
hex48dfddc

76414428 has 60 divisors (see below), whose sum is σ = 210293160. Its totient is φ = 24128928.

The previous prime is 76414417. The next prime is 76414451. The reversal of 76414428 is 82441467.

76414428 is a `hidden beast` number, since 7 + 641 + 4 + 4 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 76414392 and 76414401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51 + ... + 12362.

It is an arithmetic number, because the mean of its divisors is an integer number (3504886).

Almost surely, 276414428 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 76414428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105146580).

76414428 is an abundant number, since it is smaller than the sum of its proper divisors (133878732).

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

76414428 is a wasteful number, since it uses less digits than its factorization.

76414428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12448 (or 12437 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 76414428 is about 8741.5346478751. The cubic root of 76414428 is about 424.3508947044.

The spelling of 76414428 in words is "seventy-six million, four hundred fourteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 12413 24826 37239 49652 74478 111717 148956 223434 235847 335151 446868 471694 670302 707541 943388 1005453 1340604 1415082 2010906 2122623 2830164 4021812 4245246 6367869 8490492 12735738 19103607 25471476 38207214 76414428