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54311814 = 23231131743
BaseRepresentation
bin1100111100101…
…1101110000110
310210012022210200
43033023232012
5102400434224
65220031330
71226433324
oct317135606
9123168720
1054311814
11287262a7
1216232546
13b337b8b
1472dad14
154b7c5c9
hex33cbb86

54311814 has 48 divisors (see below), whose sum is σ = 122563584. Its totient is φ = 17362800.

The previous prime is 54311813. The next prime is 54311843. The reversal of 54311814 is 41811345.

It is a happy number.

54311814 is a `hidden beast` number, since 543 + 118 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54311813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72727 + ... + 73469.

It is an arithmetic number, because the mean of its divisors is an integer number (2553408).

Almost surely, 254311814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54311814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61281792).

54311814 is an abundant number, since it is smaller than the sum of its proper divisors (68251770).

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

54311814 is a wasteful number, since it uses less digits than its factorization.

54311814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 910 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 54311814 is about 7369.6549444326. The cubic root of 54311814 is about 378.7024395399.

The spelling of 54311814 in words is "fifty-four million, three hundred eleven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 131 186 262 279 393 558 743 786 1179 1486 2229 2358 4061 4458 6687 8122 12183 13374 23033 24366 36549 46066 69099 73098 97333 138198 194666 207297 291999 414594 583998 875997 1751994 3017323 6034646 9051969 18103938 27155907 54311814