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9768052 = 2272194361
BaseRepresentation
bin100101010000…
…110001110100
3200101021020201
4211100301310
510000034202
6545210244
7146012200
oct45206164
920337221
109768052
115571978
123330984
132040118
141423b00
15cce387
hex950c74

9768052 has 72 divisors (see below), whose sum is σ = 21769440. Its totient is φ = 3810240.

The previous prime is 9768049. The next prime is 9768061. The reversal of 9768052 is 2508679.

9768052 is a modest number, since divided by 8052 gives 976 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160102 + ... + 160162.

Almost surely, 29768052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9768052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10884720).

9768052 is an abundant number, since it is smaller than the sum of its proper divisors (12001388).

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

9768052 is a wasteful number, since it uses less digits than its factorization.

9768052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 9768052 is about 3125.3882958762. The cubic root of 9768052 is about 213.7646990108.

The spelling of 9768052 in words is "nine million, seven hundred sixty-eight thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 38 43 49 61 76 86 98 122 133 172 196 244 266 301 427 532 602 817 854 931 1159 1204 1634 1708 1862 2107 2318 2623 2989 3268 3724 4214 4636 5246 5719 5978 8113 8428 10492 11438 11956 16226 18361 22876 32452 36722 40033 49837 56791 73444 80066 99674 113582 128527 160132 199348 227164 257054 348859 514108 697718 1395436 2442013 4884026 9768052