Search a number
-
+
76449996 = 223272192281
BaseRepresentation
bin1001000111010…
…00100011001100
312022212001200100
410203220203030
5124032344441
611330331100
71615546200
oct443504314
9168761610
1076449996
113a177017
1221729a90
1312ab95ac
14a220b00
156aa1cb6
hex48e88cc

76449996 has 108 divisors (see below), whose sum is σ = 236734680. Its totient is φ = 20684160.

The previous prime is 76449991. The next prime is 76450007. The reversal of 76449996 is 69994467.

76449996 is a `hidden beast` number, since 7 + 64 + 499 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76449991) 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 35 ways as a sum of consecutive naturals, for example, 32376 + ... + 34656.

Almost surely, 276449996 is an apocalyptic number.

76449996 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76449996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118367340).

76449996 is an abundant number, since it is smaller than the sum of its proper divisors (160284684).

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

76449996 is a wasteful number, since it uses less digits than its factorization.

76449996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2312 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 76449996 is about 8743.5688365793. The cubic root of 76449996 is about 424.4167242073.

The spelling of 76449996 in words is "seventy-six million, four hundred forty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1596 1764 1862 2281 2394 2793 3724 4562 4788 5586 6843 8379 9124 11172 13686 15967 16758 20529 27372 31934 33516 41058 43339 47901 63868 82116 86678 95802 111769 130017 143703 173356 191604 223538 260034 287406 303373 335307 390051 447076 520068 574812 606746 670614 780102 910119 1005921 1213492 1341228 1560204 1820238 2011842 2123611 2730357 3640476 4023684 4247222 5460714 6370833 8494444 10921428 12741666 19112499 25483332 38224998 76449996