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672127272 = 2332139239281
BaseRepresentation
bin101000000011111…
…101100100101000
31201211201121021200
4220003331210220
52334031033042
6150410004200
722440662505
oct5003754450
91654647250
10672127272
11315442193
12169116660
13a933075b
14653a04ac
153e018c4c
hex280fd928

672127272 has 96 divisors (see below), whose sum is σ = 1847664000. Its totient is φ = 220711680.

The previous prime is 672127243. The next prime is 672127273. The reversal of 672127272 is 272721276.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (672127273) 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 23 ways as a sum of consecutive naturals, for example, 2391772 + ... + 2392052.

It is an arithmetic number, because the mean of its divisors is an integer number (19246500).

Almost surely, 2672127272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672127272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923832000).

672127272 is an abundant number, since it is smaller than the sum of its proper divisors (1175536728).

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

672127272 is a wasteful number, since it uses less digits than its factorization.

672127272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 664 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 672127272 is about 25925.4174894060. The cubic root of 672127272 is about 875.9591211299.

The spelling of 672127272 in words is "six hundred seventy-two million, one hundred twenty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 239 278 281 417 478 556 562 717 834 843 956 1112 1124 1251 1434 1668 1686 1912 2151 2248 2502 2529 2868 3336 3372 4302 5004 5058 5736 6744 8604 10008 10116 17208 20232 33221 39059 66442 67159 78118 99663 117177 132884 134318 156236 199326 201477 234354 265768 268636 298989 312472 351531 398652 402954 468708 537272 597978 604431 703062 797304 805908 937416 1195956 1208862 1406124 1611816 2391912 2417724 2812248 4835448 9335101 18670202 28005303 37340404 56010606 74680808 84015909 112021212 168031818 224042424 336063636 672127272