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77213349 = 3245718773
BaseRepresentation
bin1001001101000…
…10111010100101
312101021211210200
410212202322211
5124231311344
611354541113
71625205543
oct446427245
9171254720
1077213349
113a648594
1221a37799
1312cc5b95
14a37cd93
156ba3069
hex49a2ea5

77213349 has 12 divisors (see below), whose sum is σ = 111780396. Its totient is φ = 51360192.

The previous prime is 77213347. The next prime is 77213407. The reversal of 77213349 is 94331277.

It can be written as a sum of positive squares in 2 ways, for example, as 74080449 + 3132900 = 8607^2 + 1770^2 .

It is not a de Polignac number, because 77213349 - 21 = 77213347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77213347) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5274 + ... + 13499.

It is an arithmetic number, because the mean of its divisors is an integer number (9315033).

Almost surely, 277213349 is an apocalyptic number.

It is an amenable number.

77213349 is a deficient number, since it is larger than the sum of its proper divisors (34567047).

77213349 is a wasteful number, since it uses less digits than its factorization.

77213349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19236 (or 19233 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 77213349 is about 8787.1126657168. The cubic root of 77213349 is about 425.8246484553.

The spelling of 77213349 in words is "seventy-seven million, two hundred thirteen thousand, three hundred forty-nine".

Divisors: 1 3 9 457 1371 4113 18773 56319 168957 8579261 25737783 77213349