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253069806 = 23112536577
BaseRepresentation
bin11110001010110…
…00100111101110
3122122012021111210
433011120213232
51004241213211
641040055250
76162025563
oct1705304756
9578167453
10253069806
1111a940100
1270904526
1340578a62
142587886a
151733d9a6
hexf1589ee

253069806 has 48 divisors (see below), whose sum is σ = 566918352. Its totient is φ = 75229440.

The previous prime is 253069777. The next prime is 253069823. The reversal of 253069806 is 608960352.

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, 35190 + ... + 41766.

It is an arithmetic number, because the mean of its divisors is an integer number (11810799).

Almost surely, 2253069806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253069806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283459176).

253069806 is an abundant number, since it is smaller than the sum of its proper divisors (313848546).

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

253069806 is a wasteful number, since it uses less digits than its factorization.

253069806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6657 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 253069806 is about 15908.1679020558. The cubic root of 253069806 is about 632.5285179328.

The spelling of 253069806 in words is "two hundred fifty-three million, sixty-nine thousand, eight hundred six".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 318 363 583 726 1166 1749 3498 6413 6577 12826 13154 19239 19731 38478 39462 72347 144694 217041 348581 434082 697162 795817 1045743 1591634 2091486 2387451 3834391 4774902 7668782 11503173 23006346 42178301 84356602 126534903 253069806