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627120072 = 233217512353
BaseRepresentation
bin100101011000010…
…001011111001000
31121201001000000100
4211120101133020
52241020320242
6142121205400
721353301255
oct4530213710
91551030010
10627120072
112a1aa1657
12156030860
139cc02a87
145d40642c
153a0c854c
hex256117c8

627120072 has 48 divisors (see below), whose sum is σ = 1798362540. Its totient is φ = 196743168.

The previous prime is 627120019. The next prime is 627120079. The reversal of 627120072 is 270021726.

It can be written as a sum of positive squares in 2 ways, for example, as 578594916 + 48525156 = 24054^2 + 6966^2 .

It is not an unprimeable number, because it can be changed into a prime (627120079) 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 11 ways as a sum of consecutive naturals, for example, 254953 + ... + 257400.

Almost surely, 2627120072 is an apocalyptic number.

It is an amenable number.

627120072 is an abundant number, since it is smaller than the sum of its proper divisors (1171242468).

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

627120072 is a wasteful number, since it uses less digits than its factorization.

627120072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512382 (or 512375 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 627120072 is about 25042.3655432150. The cubic root of 627120072 is about 855.9536215301.

Adding to 627120072 its reverse (270021726), we get a palindrome (897141798).

The spelling of 627120072 in words is "six hundred twenty-seven million, one hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 512353 1024706 1537059 2049412 3074118 4098824 4611177 6148236 8710001 9222354 12296472 17420002 18444708 26130003 34840004 36889416 52260006 69680008 78390009 104520012 156780018 209040024 313560036 627120072