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9777042 = 232112672
BaseRepresentation
bin100101010010…
…111110010010
3200101201120200
4211102332102
510000331132
6545320030
7146050332
oct45227622
920351520
109777042
115578700
123336016
132044242
1414270c2
15cd1d7c
hex952f92

9777042 has 54 divisors (see below), whose sum is σ = 23637159. Its totient is φ = 2918520.

The previous prime is 9777037. The next prime is 9777043. The reversal of 9777042 is 2407779.

9777042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4888521 + 4888521 = 2211^2 + 2211^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2211.

It is a junction number, because it is equal to n+sod(n) for n = 9776988 and 9777006.

It is not an unprimeable number, because it can be changed into a prime (9777043) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 145893 + ... + 145959.

Almost surely, 29777042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9777042

9777042 is an abundant number, since it is smaller than the sum of its proper divisors (13860117).

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

9777042 is a wasteful number, since it uses less digits than its factorization.

9777042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 9777042 is about 3126.8261864069. The cubic root of 9777042 is about 213.8302581550.

The spelling of 9777042 in words is "nine million, seven hundred seventy-seven thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 121 134 198 201 242 363 402 603 726 737 1089 1206 1474 2178 2211 4422 4489 6633 8107 8978 13266 13467 16214 24321 26934 40401 48642 49379 72963 80802 98758 145926 148137 296274 444411 543169 888822 1086338 1629507 3259014 4888521 9777042