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26252064 = 253291153
BaseRepresentation
bin110010000100…
…1001100100000
31211101202001200
41210021030200
523210031224
62334401200
7436065426
oct144111440
954352050
1026252064
1113900623
128960200
135592087
1436b5116
1524885c9
hex1909320

26252064 has 36 divisors (see below), whose sum is σ = 74655126. Its totient is φ = 8750592.

The previous prime is 26252033. The next prime is 26252069. The reversal of 26252064 is 46025262.

It can be written as a sum of positive squares in only one way, i.e., 26010000 + 242064 = 5100^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (26252069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45289 + ... + 45864.

Almost surely, 226252064 is an apocalyptic number.

26252064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26252064 is an abundant number, since it is smaller than the sum of its proper divisors (48403062).

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

26252064 is a wasteful number, since it uses less digits than its factorization.

26252064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91169 (or 91158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 26252064 is about 5123.6768047956. The cubic root of 26252064 is about 297.2038868022.

It can be divided in two parts, 262 and 52064, that added together give a triangular number (52326 = T323).

The spelling of 26252064 in words is "twenty-six million, two hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 91153 182306 273459 364612 546918 729224 820377 1093836 1458448 1640754 2187672 2916896 3281508 4375344 6563016 8750688 13126032 26252064