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145652544 = 2632252869
BaseRepresentation
bin10001010111001…
…11101101000000
3101011001220201200
420223213231000
5244241340134
622241501200
73416011662
oct1053475500
9334056650
10145652544
1175242a04
1240941800
132423914b
14154b6532
15cbc1499
hex8ae7b40

145652544 has 42 divisors (see below), whose sum is σ = 417488370. Its totient is φ = 48550656.

The previous prime is 145652543. The next prime is 145652561. The reversal of 145652544 is 445256541.

145652544 is a `hidden beast` number, since 14 + 56 + 52 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138297600 + 7354944 = 11760^2 + 2712^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 145652499 and 145652508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145652543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125859 + ... + 127010.

Almost surely, 2145652544 is an apocalyptic number.

It is an amenable number.

145652544 is an abundant number, since it is smaller than the sum of its proper divisors (271835826).

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

145652544 is a wasteful number, since it uses less digits than its factorization.

145652544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252887 (or 252874 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 145652544 is about 12068.6595776002. The cubic root of 145652544 is about 526.1456993001.

The spelling of 145652544 in words is "one hundred forty-five million, six hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 252869 505738 758607 1011476 1517214 2022952 2275821 3034428 4045904 4551642 6068856 8091808 9103284 12137712 16183616 18206568 24275424 36413136 48550848 72826272 145652544