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55172260 = 2251113101191
BaseRepresentation
bin1101001001110…
…1110010100100
310211211001010001
43102131302210
5103111003020
65250311044
71236646033
oct322356244
9124731101
1055172260
1129163810
1216588484
13b579710
14748271a
154c9c50a
hex349dca4

55172260 has 96 divisors (see below), whose sum is σ = 138184704. Its totient is φ = 18240000.

The previous prime is 55172233. The next prime is 55172267. The reversal of 55172260 is 6227155.

55172260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

55172260 is a nontrivial binomial coefficient, being equal to C(10505, 2).

It is a Smith number, since the sum of its digits (28) 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 (55172267) 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 31 ways as a sum of consecutive naturals, for example, 288765 + ... + 288955.

It is an arithmetic number, because the mean of its divisors is an integer number (1439424).

Almost surely, 255172260 is an apocalyptic number.

55172260 is the 10504-th triangular number.

55172260 is the 3502-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55172260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69092352).

55172260 is an abundant number, since it is smaller than the sum of its proper divisors (83012444).

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

55172260 is a wasteful number, since it uses less digits than its factorization.

55172260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 55172260 is about 7427.8031745598. The cubic root of 55172260 is about 380.6918605353.

It can be divided in two parts, 5517 and 2260, that added together give a palindrome (7777).

The spelling of 55172260 in words is "fifty-five million, one hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 101 110 130 143 191 202 220 260 286 382 404 505 572 715 764 955 1010 1111 1313 1430 1910 2020 2101 2222 2483 2626 2860 3820 4202 4444 4966 5252 5555 6565 8404 9932 10505 11110 12415 13130 14443 19291 21010 22220 24830 26260 27313 28886 38582 42020 49660 54626 57772 72215 77164 96455 109252 136565 144430 192910 212201 250783 273130 288860 385820 424402 501566 546260 848804 1003132 1061005 1253915 2122010 2507830 2758613 4244020 5015660 5517226 11034452 13793065 27586130 55172260