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5454306 = 23211132163
BaseRepresentation
bin10100110011100111100010
3101021002220100
4110303213202
52344014211
6312523230
764234524
oct24634742
911232810
105454306
1130959a0
1219b0516
13118c800
14a1da14
1572b156
hex5339e2

5454306 has 72 divisors (see below), whose sum is σ = 14045616. Its totient is φ = 1516320.

The previous prime is 5454299. The next prime is 5454307. The reversal of 5454306 is 6034545.

5454306 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5454306.

It is not an unprimeable number, because it can be changed into a prime (5454307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33381 + ... + 33543.

It is an arithmetic number, because the mean of its divisors is an integer number (195078).

Almost surely, 25454306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5454306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022808).

5454306 is an abundant number, since it is smaller than the sum of its proper divisors (8591310).

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

5454306 is a wasteful number, since it uses less digits than its factorization.

5454306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5454306 is about 2335.4455677665. The cubic root of 5454306 is about 176.0272211684.

It can be divided in two parts, 545 and 4306, that added together give a triangular number (4851 = T98).

The spelling of 5454306 in words is "five million, four hundred fifty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 163 169 198 234 286 326 338 429 489 507 858 978 1014 1287 1467 1521 1793 1859 2119 2574 2934 3042 3586 3718 4238 5379 5577 6357 10758 11154 12714 16137 16731 19071 23309 27547 32274 33462 38142 46618 55094 69927 82641 139854 165282 209781 247923 303017 419562 495846 606034 909051 1818102 2727153 5454306