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145260576 = 2532504377
BaseRepresentation
bin10001010100010…
…00000000100000
3101010100000001100
420222020000200
5244141314301
622225234400
73412460136
oct1052100040
9333300040
10145260576
1174aa546a
1240792a00
132412c906
1415413756
15cb45286
hex8a88020

145260576 has 36 divisors (see below), whose sum is σ = 413085582. Its totient is φ = 48420096.

The previous prime is 145260551. The next prime is 145260589. The reversal of 145260576 is 675062541.

It is a happy number.

145260576 is a `hidden beast` number, since 1 + 45 + 2 + 605 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105267600 + 39992976 = 10260^2 + 6324^2 .

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

It is a super-2 number, since 2×1452605762 = 42201269879703552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145260576.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251901 + ... + 252476.

Almost surely, 2145260576 is an apocalyptic number.

145260576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145260576 is an abundant number, since it is smaller than the sum of its proper divisors (267825006).

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

145260576 is a wasteful number, since it uses less digits than its factorization.

145260576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504393 (or 504382 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 145260576 is about 12052.4095516208. The cubic root of 145260576 is about 525.6733021206.

The spelling of 145260576 in words is "one hundred forty-five million, two hundred sixty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 504377 1008754 1513131 2017508 3026262 4035016 4539393 6052524 8070032 9078786 12105048 16140064 18157572 24210096 36315144 48420192 72630288 145260576