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77283136 = 267172507
BaseRepresentation
bin1001001101100…
…11111101000000
312101102101112101
410212303331000
5124241030021
611400240144
71625616160
oct446637500
9171371471
1077283136
113a695a67
1221a70054
131301b888
14a39a5a0
156bb8a91
hex49b3f40

77283136 has 28 divisors (see below), whose sum is σ = 175268128. Its totient is φ = 33121152.

The previous prime is 77283109. The next prime is 77283161. The reversal of 77283136 is 63138277.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 77283095 and 77283104.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 85806 + ... + 86701.

It is an arithmetic number, because the mean of its divisors is an integer number (6259576).

Almost surely, 277283136 is an apocalyptic number.

It is an amenable number.

77283136 is an abundant number, since it is smaller than the sum of its proper divisors (97984992).

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

77283136 is a wasteful number, since it uses less digits than its factorization.

77283136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172526 (or 172516 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 77283136 is about 8791.0827547009. The cubic root of 77283136 is about 425.9528994925.

The spelling of 77283136 in words is "seventy-seven million, two hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 172507 345014 690028 1207549 1380056 2415098 2760112 4830196 5520224 9660392 11040448 19320784 38641568 77283136