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144794448 = 24322934673
BaseRepresentation
bin10001010000101…
…10001101010000
3101002110022122100
420220112031100
5244031410243
622211240400
73405506151
oct1050261520
9332408570
10144794448
1174807237
12405a9100
1323cc86b6
1415331928
15caa20d3
hex8a16350

144794448 has 60 divisors (see below), whose sum is σ = 419208660. Its totient is φ = 46599168.

The previous prime is 144794443. The next prime is 144794467. The reversal of 144794448 is 844497441.

It can be written as a sum of positive squares in 2 ways, for example, as 38044224 + 106750224 = 6168^2 + 10332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144794443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13161 + ... + 21512.

It is an arithmetic number, because the mean of its divisors is an integer number (6986811).

Almost surely, 2144794448 is an apocalyptic number.

144794448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144794448 is an abundant number, since it is smaller than the sum of its proper divisors (274414212).

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

144794448 is a wasteful number, since it uses less digits than its factorization.

144794448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34716 (or 34707 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 144794448 is about 12033.0564695758. The cubic root of 144794448 is about 525.1104203117.

The spelling of 144794448 in words is "one hundred forty-four million, seven hundred ninety-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 34673 69346 104019 138692 208038 277384 312057 416076 554768 624114 832152 1005517 1248228 1664304 2011034 2496456 3016551 4022068 4992912 6033102 8044136 9049653 12066204 16088272 18099306 24132408 36198612 48264816 72397224 144794448