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77387328 = 2632134353
BaseRepresentation
bin1001001110011…
…01011001000000
312101121200110100
410213031121000
5124302343303
611402402400
71626532014
oct447153100
9171550410
1077387328
113a757277
1221b00400
1313057125
14a3c6544
156bd98a3
hex49cd640

77387328 has 42 divisors (see below), whose sum is σ = 221818454. Its totient is φ = 25795584.

The previous prime is 77387309. The next prime is 77387329. The reversal of 77387328 is 82378377.

It can be written as a sum of positive squares in only one way, i.e., 47444544 + 29942784 = 6888^2 + 5472^2 .

It is not an unprimeable number, because it can be changed into a prime (77387329) 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 5 ways as a sum of consecutive naturals, for example, 66601 + ... + 67752.

Almost surely, 277387328 is an apocalyptic number.

It is an amenable number.

77387328 is an abundant number, since it is smaller than the sum of its proper divisors (144431126).

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

77387328 is a wasteful number, since it uses less digits than its factorization.

77387328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134371 (or 134358 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 77387328 is about 8797.0067636668. The cubic root of 77387328 is about 426.1442347013.

The spelling of 77387328 in words is "seventy-seven million, three hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 134353 268706 403059 537412 806118 1074824 1209177 1612236 2149648 2418354 3224472 4299296 4836708 6448944 8598592 9673416 12897888 19346832 25795776 38693664 77387328