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76077056 = 211112307
BaseRepresentation
bin1001000100011…
…01100000000000
312022011010002202
410202031200000
5123433431211
611314332332
71612433666
oct442154000
9168133082
1076077056
1139a41900
122158a0a8
13129b8913
14a164c36
156a2b53b
hex488d800

76077056 has 72 divisors (see below), whose sum is σ = 167747580. Its totient is φ = 34467840.

The previous prime is 76077011. The next prime is 76077061. The reversal of 76077056 is 65077067.

It is a congruent number.

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, 247655 + ... + 247961.

Almost surely, 276077056 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 76077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83873790).

76077056 is an abundant number, since it is smaller than the sum of its proper divisors (91670524).

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

76077056 is a wasteful number, since it uses less digits than its factorization.

76077056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 38.

The square root of 76077056 is about 8722.2162321282. The cubic root of 76077056 is about 423.7254660456.

The spelling of 76077056 in words is "seventy-six million, seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 307 352 484 512 614 704 968 1024 1228 1408 1936 2048 2456 2816 3377 3872 4912 5632 6754 7744 9824 11264 13508 15488 19648 22528 27016 30976 37147 39296 54032 61952 74294 78592 108064 123904 148588 157184 216128 247808 297176 314368 432256 594352 628736 864512 1188704 1729024 2377408 3458048 4754816 6916096 9509632 19019264 38038528 76077056