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144797472 = 2532502769
BaseRepresentation
bin10001010000101…
…10111100100000
3101002110110210100
420220112330200
5244032004342
622211302400
73405521031
oct1050267440
9332413710
10144797472
1174809536
12405aaa00
1323cc9ba1
1415332a88
15caa2e4c
hex8a16f20

144797472 has 36 divisors (see below), whose sum is σ = 411768630. Its totient is φ = 48265728.

The previous prime is 144797447. The next prime is 144797473. The reversal of 144797472 is 274797441.

It can be written as a sum of positive squares in only one way, i.e., 95179536 + 49617936 = 9756^2 + 7044^2 .

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (144797473) 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 5 ways as a sum of consecutive naturals, for example, 251097 + ... + 251672.

Almost surely, 2144797472 is an apocalyptic number.

144797472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144797472 is an abundant number, since it is smaller than the sum of its proper divisors (266971158).

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

144797472 is a wasteful number, since it uses less digits than its factorization.

144797472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502785 (or 502774 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 144797472 is about 12033.1821227803. The cubic root of 144797472 is about 525.1140758912.

The spelling of 144797472 in words is "one hundred forty-four million, seven hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 502769 1005538 1508307 2011076 3016614 4022152 4524921 6033228 8044304 9049842 12066456 16088608 18099684 24132912 36199368 48265824 72398736 144797472