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77969466 = 236531009
BaseRepresentation
bin1001010010110…
…11100000111010
312102201021000000
410221123200322
5124430010331
611423053430
71634505141
oct451334072
9172637000
1077969466
1140014683
1222141276
13131cc0a3
14a4d8758
156ca20e6
hex4a5b83a

77969466 has 56 divisors (see below), whose sum is σ = 178836660. Its totient is φ = 25474176.

The previous prime is 77969459. The next prime is 77969467. The reversal of 77969466 is 66496977.

It can be written as a sum of positive squares in 2 ways, for example, as 77951241 + 18225 = 8829^2 + 135^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77969467) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 76770 + ... + 77778.

Almost surely, 277969466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77969466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89418330).

77969466 is an abundant number, since it is smaller than the sum of its proper divisors (100867194).

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

77969466 is a wasteful number, since it uses less digits than its factorization.

77969466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1067 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 77969466 is about 8830.0320497720. The cubic root of 77969466 is about 427.2101081752.

The spelling of 77969466 in words is "seventy-seven million, nine hundred sixty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 729 954 1009 1431 1458 2018 2862 3027 4293 6054 8586 9081 12879 18162 25758 27243 38637 53477 54486 77274 81729 106954 160431 163458 245187 320862 481293 490374 735561 962586 1443879 1471122 2887758 4331637 8663274 12994911 25989822 38984733 77969466