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1272625056 = 25328353239
BaseRepresentation
bin100101111011010…
…1011011110100000
310021200200001101100
41023312223132200
510101243000211
6330140434400
743352064063
oct11366533640
93250601340
101272625056
115a340004a
122b6248a00
13173871aa1
14c10368da
1576ad4156
hex4bdab7a0

1272625056 has 72 divisors (see below), whose sum is σ = 3662699040. Its totient is φ = 419089536.

The previous prime is 1272625043. The next prime is 1272625093. The reversal of 1272625056 is 6505262721.

1272625056 is a `hidden beast` number, since 1 + 27 + 2 + 625 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×12726250563 (a number of 28 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1272625056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2716 + ... + 50523.

It is an arithmetic number, because the mean of its divisors is an integer number (50870820).

Almost surely, 21272625056 is an apocalyptic number.

1272625056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831349520).

1272625056 is an abundant number, since it is smaller than the sum of its proper divisors (2390073984).

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

1272625056 is a wasteful number, since it uses less digits than its factorization.

1272625056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53338 (or 53327 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1272625056 is about 35673.8707739993. The cubic root of 1272625056 is about 1083.6777499198.

Adding to 1272625056 its reverse (6505262721), we get a palindrome (7777887777).

The spelling of 1272625056 in words is "one billion, two hundred seventy-two million, six hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 23904 53239 106478 159717 212956 319434 425912 479151 638868 851824 958302 1277736 1703648 1916604 2555472 3833208 4418837 5110944 7666416 8837674 13256511 15332832 17675348 26513022 35350696 39769533 53026044 70701392 79539066 106052088 141402784 159078132 212104176 318156264 424208352 636312528 1272625056