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77083092 = 22322141197
BaseRepresentation
bin1001001100000…
…11000111010100
312101001020010100
410212003013110
5124213124332
611352054100
71624124022
oct446030724
9171036110
1077083092
113a569739
1221994330
1312c7b7c8
14a347712
156b7967c
hex49831d4

77083092 has 18 divisors (see below), whose sum is σ = 194849018. Its totient is φ = 25694352.

The previous prime is 77083043. The next prime is 77083129. The reversal of 77083092 is 29038077.

It can be written as a sum of positive squares in only one way, i.e., 61685316 + 15397776 = 7854^2 + 3924^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2141197 = 77083092 / (7 + 7 + 0 + 8 + 3 + 0 + 9 + 2).

It is a congruent number.

It is an unprimeable number.

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, 1070563 + ... + 1070634.

Almost surely, 277083092 is an apocalyptic number.

It is an amenable number.

77083092 is an abundant number, since it is smaller than the sum of its proper divisors (117765926).

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

77083092 is a wasteful number, since it uses less digits than its factorization.

77083092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141207 (or 2141202 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 77083092 is about 8779.6977168921. The cubic root of 77083092 is about 425.5850618143.

The spelling of 77083092 in words is "seventy-seven million, eighty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 2141197 4282394 6423591 8564788 12847182 19270773 25694364 38541546 77083092