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145288944 = 2433336317
BaseRepresentation
bin10001010100011…
…10111011110000
3101010101102222000
420222032323300
5244143221234
622230014000
73412635633
oct1052167360
9333342860
10145288944
1175014809
12407a7300
132413c7b8
141541dc1a
15cb4d899
hex8a8eef0

145288944 has 40 divisors (see below), whose sum is σ = 417034320. Its totient is φ = 48429504.

The previous prime is 145288943. The next prime is 145288951. The reversal of 145288944 is 449882541.

145288944 is a `hidden beast` number, since 1 + 4 + 528 + 89 + 44 = 666.

145288944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1452889442 = 42217754497270272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145288944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145288943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167727 + ... + 168590.

It is an arithmetic number, because the mean of its divisors is an integer number (10425858).

Almost surely, 2145288944 is an apocalyptic number.

It is an amenable number.

145288944 is an abundant number, since it is smaller than the sum of its proper divisors (271745376).

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

145288944 is a wasteful number, since it uses less digits than its factorization.

145288944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336334 (or 336322 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 145288944 is about 12053.5863542765. The cubic root of 145288944 is about 525.7075195479.

The spelling of 145288944 in words is "one hundred forty-five million, two hundred eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 336317 672634 1008951 1345268 2017902 2690536 3026853 4035804 5381072 6053706 8071608 9080559 12107412 16143216 18161118 24214824 36322236 48429648 72644472 145288944