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97776468 = 22328930517
BaseRepresentation
bin1011101001111…
…11001101010100
320210222120002200
411310333031110
5200012321333
613411404500
72265041406
oct564771524
9223876080
1097776468
11502129a9
12288b3730
13173456ca
14cdb2b76
1588b5c13
hex5d3f354

97776468 has 36 divisors (see below), whose sum is σ = 249942420. Its totient is φ = 32224896.

The previous prime is 97776463. The next prime is 97776491. The reversal of 97776468 is 86467779.

It can be written as a sum of positive squares in 2 ways, for example, as 5846724 + 91929744 = 2418^2 + 9588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97776463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12055 + ... + 18462.

It is an arithmetic number, because the mean of its divisors is an integer number (6942845).

Almost surely, 297776468 is an apocalyptic number.

It is an amenable number.

97776468 is an abundant number, since it is smaller than the sum of its proper divisors (152165952).

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

97776468 is a wasteful number, since it uses less digits than its factorization.

97776468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30616 (or 30611 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 97776468 is about 9888.1984203393. The cubic root of 97776468 is about 460.6928249191.

The spelling of 97776468 in words is "ninety-seven million, seven hundred seventy-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 30517 61034 91551 122068 183102 274653 366204 549306 1098612 2716013 5432026 8148039 10864052 16296078 24444117 32592156 48888234 97776468