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259399041 = 31131253567
BaseRepresentation
bin11110111011000…
…01110110000001
3200002002211120220
433131201312001
51012401232131
641423453253
76266566266
oct1735416601
9602084526
10259399041
11123473380
1272a57229
1341983875
142664526d
1517b8de96
hexf761d81

259399041 has 16 divisors (see below), whose sum is σ = 389480448. Its totient is φ = 152139600.

The previous prime is 259399033. The next prime is 259399057. The reversal of 259399041 is 140993952.

It is not a de Polignac number, because 259399041 - 23 = 259399033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 259398984 and 259399002.

It is not an unprimeable number, because it can be changed into a prime (259399061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125761 + ... + 127806.

It is an arithmetic number, because the mean of its divisors is an integer number (24342528).

Almost surely, 2259399041 is an apocalyptic number.

It is an amenable number.

259399041 is a deficient number, since it is larger than the sum of its proper divisors (130081407).

259399041 is a wasteful number, since it uses less digits than its factorization.

259399041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253612.

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 259399041 is about 16105.8697685037. The cubic root of 259399041 is about 637.7583039377.

It can be divided in two parts, 25939 and 9041, that added together give a triangular number (34980 = T264).

The spelling of 259399041 in words is "two hundred fifty-nine million, three hundred ninety-nine thousand, forty-one".

Divisors: 1 3 11 31 33 93 341 1023 253567 760701 2789237 7860577 8367711 23581731 86466347 259399041