Search a number
-
+
77352768 = 2632134293
BaseRepresentation
bin1001001110001…
…00111101000000
312101112221001100
410213010331000
5124300242033
611401534400
71626326163
oct447047500
9171487040
1077352768
113a733309
1221aa4400
131304448c
14a3b7ada
156bce513
hex49c4f40

77352768 has 42 divisors (see below), whose sum is σ = 221719394. Its totient is φ = 25784064.

The previous prime is 77352767. The next prime is 77352787. The reversal of 77352768 is 86725377.

It can be written as a sum of positive squares in only one way, i.e., 75481344 + 1871424 = 8688^2 + 1368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77352767) 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, 66571 + ... + 67722.

Almost surely, 277352768 is an apocalyptic number.

It is an amenable number.

77352768 is an abundant number, since it is smaller than the sum of its proper divisors (144366626).

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

77352768 is a wasteful number, since it uses less digits than its factorization.

77352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134311 (or 134298 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 77352768 is about 8795.0422398076. The cubic root of 77352768 is about 426.0807887511.

The spelling of 77352768 in words is "seventy-seven million, three hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 134293 268586 402879 537172 805758 1074344 1208637 1611516 2148688 2417274 3223032 4297376 4834548 6446064 8594752 9669096 12892128 19338192 25784256 38676384 77352768