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652740993 = 321710614021
BaseRepresentation
bin100110111010000…
…000100110000001
31200111020200022100
4212322000212001
52314100202433
6144434301013
722114130652
oct4672004601
91614220270
10652740993
11305500a73
12162727769
13a5303798
1462995529
153c489b13
hex26e80981

652740993 has 24 divisors (see below), whose sum is σ = 999499176. Its totient is φ = 409075200.

The previous prime is 652740971. The next prime is 652741007. The reversal of 652740993 is 399047256.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77316849 + 575424144 = 8793^2 + 23988^2 .

It is a de Polignac number, because none of the positive numbers 2k-652740993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (652740923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160323 + ... + 164343.

It is an arithmetic number, because the mean of its divisors is an integer number (41645799).

Almost surely, 2652740993 is an apocalyptic number.

It is an amenable number.

652740993 is a deficient number, since it is larger than the sum of its proper divisors (346758183).

652740993 is a wasteful number, since it uses less digits than its factorization.

652740993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 652740993 is about 25548.7963121553. The cubic root of 652740993 is about 867.4550159246.

The spelling of 652740993 in words is "six hundred fifty-two million, seven hundred forty thousand, nine hundred ninety-three".

Divisors: 1 3 9 17 51 153 1061 3183 4021 9549 12063 18037 36189 54111 68357 162333 205071 615213 4266281 12798843 38396529 72526777 217580331 652740993