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76414212 = 22337611657
BaseRepresentation
bin1001000110111…
…11110100000100
312022210020121000
410203133310010
5124030223322
611325453300
71615336650
oct443376404
9168706530
1076414212
113a152146
1221711230
1312aa6214
14a211a60
156a963ac
hex48dfd04

76414212 has 96 divisors (see below), whose sum is σ = 230263040. Its totient is φ = 21461760.

The previous prime is 76414193. The next prime is 76414223. The reversal of 76414212 is 21241467.

76414212 is a `hidden beast` number, since 7 + 641 + 4 + 2 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45288 + ... + 46944.

Almost surely, 276414212 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 76414212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115131520).

76414212 is an abundant number, since it is smaller than the sum of its proper divisors (153848828).

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

76414212 is a wasteful number, since it uses less digits than its factorization.

76414212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1730 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 76414212 is about 8741.5222930563. The cubic root of 76414212 is about 424.3504948677.

Adding to 76414212 its reverse (21241467), we get a palindrome (97655679).

The spelling of 76414212 in words is "seventy-six million, four hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 84 108 122 126 183 189 244 252 366 378 427 549 732 756 854 1098 1281 1647 1657 1708 2196 2562 3294 3314 3843 4971 5124 6588 6628 7686 9942 11529 11599 14913 15372 19884 23058 23198 29826 34797 44739 46116 46396 59652 69594 89478 101077 104391 139188 178956 202154 208782 303231 313173 404308 417564 606462 626346 707539 909693 1212924 1252692 1415078 1819386 2122617 2729079 2830156 3638772 4245234 5458158 6367851 8490468 10916316 12735702 19103553 25471404 38207106 76414212