Search a number
-
+
76746816 = 2632133241
BaseRepresentation
bin1001001001100…
…01000001000000
312100102010211200
410210301001000
5124121344231
611340541200
71621223436
oct444610100
9170363750
1076746816
113a35a023
1221851800
1312b91723
14a29ad56
156b0ebe6
hex4931040

76746816 has 42 divisors (see below), whose sum is σ = 219982542. Its totient is φ = 25582080.

The previous prime is 76746799. The next prime is 76746827. The reversal of 76746816 is 61864767.

It can be written as a sum of positive squares in only one way, i.e., 76737600 + 9216 = 8760^2 + 96^2 .

It is a super-2 number, since 2×767468162 = 11780147532275712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66045 + ... + 67196.

Almost surely, 276746816 is an apocalyptic number.

It is an amenable number.

76746816 is an abundant number, since it is smaller than the sum of its proper divisors (143235726).

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

76746816 is a wasteful number, since it uses less digits than its factorization.

76746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133259 (or 133246 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 76746816 is about 8760.5260116046. The cubic root of 76746816 is about 424.9652862073.

The spelling of 76746816 in words is "seventy-six million, seven hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 133241 266482 399723 532964 799446 1065928 1199169 1598892 2131856 2398338 3197784 4263712 4796676 6395568 8527424 9593352 12791136 19186704 25582272 38373408 76746816