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263984097 = 3137099547
BaseRepresentation
bin11111011110000…
…01001111100001
3200101201210002210
433233001033201
51020034442342
642110032333
76353553636
oct1757011741
9611653083
10263984097
11126015183
12744a86a9
13428ca810
14270ba18d
151829779c
hexfbc13e1

263984097 has 16 divisors (see below), whose sum is σ = 379628480. Its totient is φ = 162205632.

The previous prime is 263984069. The next prime is 263984099. The reversal of 263984097 is 790489362.

It is not a de Polignac number, because 263984097 - 26 = 263984033 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263984099) 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, 22878 + ... + 32424.

It is an arithmetic number, because the mean of its divisors is an integer number (23726780).

Almost surely, 2263984097 is an apocalyptic number.

It is an amenable number.

263984097 is a deficient number, since it is larger than the sum of its proper divisors (115644383).

263984097 is a wasteful number, since it uses less digits than its factorization.

263984097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10272.

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 263984097 is about 16247.5874209065. The cubic root of 263984097 is about 641.4939845742.

It can be divided in two parts, 2639 and 84097, that added together give a triangular number (86736 = T416).

The spelling of 263984097 in words is "two hundred sixty-three million, nine hundred eighty-four thousand, ninety-seven".

Divisors: 1 3 13 39 709 2127 9217 9547 27651 28641 124111 372333 6768823 20306469 87994699 263984097