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2554272 = 253272181
BaseRepresentation
bin1001101111100110100000
311210202210200
421233212200
51123214042
6130425200
730465600
oct11574640
94722720
102554272
111495076
12a32200
136b5806
144a6c00
15356c4c
hex26f9a0

2554272 has 108 divisors (see below), whose sum is σ = 8496306. Its totient is φ = 725760.

The previous prime is 2554271. The next prime is 2554273. The reversal of 2554272 is 2724552.

2554272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2554271) and next prime (2554273).

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 7056 = 1596^2 + 84^2 .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2554271) 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 17 ways as a sum of consecutive naturals, for example, 14022 + ... + 14202.

22554272 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 2554272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248153).

2554272 is an abundant number, since it is smaller than the sum of its proper divisors (5942034).

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

2554272 is a wasteful number, since it uses less digits than its factorization.

2554272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 2554272 is about 1598.2089975970. The cubic root of 2554272 is about 136.6959709783.

The spelling of 2554272 in words is "two million, five hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 181 196 224 252 288 294 336 362 392 441 504 543 588 672 724 784 882 1008 1086 1176 1267 1448 1568 1629 1764 2016 2172 2352 2534 2896 3258 3528 3801 4344 4704 5068 5792 6516 7056 7602 8688 8869 10136 11403 13032 14112 15204 17376 17738 20272 22806 26064 26607 30408 35476 40544 45612 52128 53214 60816 70952 79821 91224 106428 121632 141904 159642 182448 212856 283808 319284 364896 425712 638568 851424 1277136 2554272