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76449912 = 233711411009
BaseRepresentation
bin1001000111010…
…00100001111000
312022212001120020
410203220201320
5124032344122
611330330440
71615546020
oct443504170
9168761506
1076449912
113a176a50
1221729a20
1312ab9546
14a220a80
156aa1c5c
hex48e8878

76449912 has 128 divisors (see below), whose sum is σ = 244339200. Its totient is φ = 19353600.

The previous prime is 76449859. The next prime is 76449917. The reversal of 76449912 is 21994467.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76449917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75264 + ... + 76272.

It is an arithmetic number, because the mean of its divisors is an integer number (1908900).

Almost surely, 276449912 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 76449912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122169600).

76449912 is an abundant number, since it is smaller than the sum of its proper divisors (167889288).

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

76449912 is a wasteful number, since it uses less digits than its factorization.

76449912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 76449912 is about 8743.5640330474. The cubic root of 76449912 is about 424.4165687636.

Subtracting from 76449912 its reverse (21994467), we obtain a palindrome (54455445).

The spelling of 76449912 in words is "seventy-six million, four hundred forty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 56 66 77 82 84 88 123 132 154 164 168 231 246 264 287 308 328 451 462 492 574 616 861 902 924 984 1009 1148 1353 1722 1804 1848 2018 2296 2706 3027 3157 3444 3608 4036 5412 6054 6314 6888 7063 8072 9471 10824 11099 12108 12628 14126 18942 21189 22198 24216 25256 28252 33297 37884 41369 42378 44396 56504 66594 75768 77693 82738 84756 88792 124107 133188 155386 165476 169512 233079 248214 266376 289583 310772 330952 455059 466158 496428 579166 621544 868749 910118 932316 992856 1158332 1365177 1737498 1820236 1864632 2316664 2730354 3185413 3474996 3640472 5460708 6370826 6949992 9556239 10921416 12741652 19112478 25483304 38224956 76449912