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76266396 = 223241163317
BaseRepresentation
bin1001000101110…
…11101110011100
312022111201211100
410202323232130
5124011011041
611322353100
71614153003
oct442735634
9168451740
1076266396
113a061088
122165b790
1312a53b5b
14a1b3c3a
156a676b6
hex48bbb9c

76266396 has 72 divisors (see below), whose sum is σ = 199324944. Its totient is φ = 24572160.

The previous prime is 76266373. The next prime is 76266397. The reversal of 76266396 is 69366267.

76266396 is a `hidden beast` number, since 7 + 6 + 2 + 6 + 639 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76266397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240430 + ... + 240746.

It is an arithmetic number, because the mean of its divisors is an integer number (2768402).

Almost surely, 276266396 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 76266396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99662472).

76266396 is an abundant number, since it is smaller than the sum of its proper divisors (123058548).

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

76266396 is a wasteful number, since it uses less digits than its factorization.

76266396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 76266396 is about 8733.0633800517. The cubic root of 76266396 is about 424.0766964022.

The spelling of 76266396 in words is "seventy-six million, two hundred sixty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 163 164 246 317 326 369 489 492 634 652 738 951 978 1268 1467 1476 1902 1956 2853 2934 3804 5706 5868 6683 11412 12997 13366 20049 25994 26732 38991 40098 51671 51988 60147 77982 80196 103342 116973 120294 155013 155964 206684 233946 240588 310026 465039 467892 620052 930078 1860156 2118511 4237022 6355533 8474044 12711066 19066599 25422132 38133198 76266396