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145428516 = 22324039681
BaseRepresentation
bin10001010101100…
…01000000100100
3101010122112102100
420222301000210
5244212203031
622233012100
73414056562
oct1052610044
9333575370
10145428516
11750aa662
1240854030
132418b19c
1415458a32
15cb79de6
hex8ab1024

145428516 has 18 divisors (see below), whose sum is σ = 367611062. Its totient is φ = 48476160.

The previous prime is 145428487. The next prime is 145428541. The reversal of 145428516 is 615824541.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 145298916 + 129600 = 12054^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1454285162 = 42298906531924512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4039681 = 145428516 / (1 + 4 + 5 + 4 + 2 + 8 + 5 + 1 + 6).

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, 2019805 + ... + 2019876.

Almost surely, 2145428516 is an apocalyptic number.

It is an amenable number.

145428516 is an abundant number, since it is smaller than the sum of its proper divisors (222182546).

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

145428516 is a wasteful number, since it uses less digits than its factorization.

145428516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039691 (or 4039686 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 145428516 is about 12059.3746106504. The cubic root of 145428516 is about 525.8758061929.

The spelling of 145428516 in words is "one hundred forty-five million, four hundred twenty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 4039681 8079362 12119043 16158724 24238086 36357129 48476172 72714258 145428516