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145564812 = 223217237851
BaseRepresentation
bin10001010110100…
…10010010001100
3101010220110101100
420223102102030
5244231033222
622235543100
73415165131
oct1053222214
9333813340
10145564812
1175192aa8
12408baa90
1324208233
1415492588
15cba54ac
hex8ad248c

145564812 has 36 divisors (see below), whose sum is σ = 389601576. Its totient is φ = 45667200.

The previous prime is 145564789. The next prime is 145564817. The reversal of 145564812 is 218465541.

It is a happy number.

145564812 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 648 + 1 + 2 = 666.

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

It is a super-2 number, since 2×1455648122 = 42378228985190688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (145564817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118314 + ... + 119537.

It is an arithmetic number, because the mean of its divisors is an integer number (10822266).

Almost surely, 2145564812 is an apocalyptic number.

145564812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145564812 is an abundant number, since it is smaller than the sum of its proper divisors (244036764).

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

145564812 is a wasteful number, since it uses less digits than its factorization.

145564812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237878 (or 237873 counting only the distinct ones).

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

The square root of 145564812 is about 12065.0243265399. The cubic root of 145564812 is about 526.0400389748.

The spelling of 145564812 in words is "one hundred forty-five million, five hundred sixty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 237851 475702 713553 951404 1427106 2140659 2854212 4043467 4281318 8086934 8562636 12130401 16173868 24260802 36391203 48521604 72782406 145564812