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54430794 = 23211475849
BaseRepresentation
bin1100111110100…
…0110001001010
310210102101000100
43033220301022
5102413241134
65222350230
71230440235
oct317506112
9123371010
1054430794
11287a7730
121628b376
13b37a092
14732c41c
154ba2999
hex33e8c4a

54430794 has 48 divisors (see below), whose sum is σ = 131414400. Its totient is φ = 16140480.

The previous prime is 54430757. The next prime is 54430799. The reversal of 54430794 is 49703445.

54430794 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×544307942 = 5925422670940872, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54430799) 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 23 ways as a sum of consecutive naturals, for example, 6382 + ... + 12230.

It is an arithmetic number, because the mean of its divisors is an integer number (2737800).

Almost surely, 254430794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54430794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65707200).

54430794 is an abundant number, since it is smaller than the sum of its proper divisors (76983606).

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

54430794 is a wasteful number, since it uses less digits than its factorization.

54430794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 54430794 is about 7377.7228194071. The cubic root of 54430794 is about 378.9787769228.

The spelling of 54430794 in words is "fifty-four million, four hundred thirty thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 3102 4653 5849 9306 11698 17547 35094 52641 64339 105282 128678 193017 274903 386034 549806 579051 824709 1158102 1649418 2474127 3023933 4948254 6047866 9071799 18143598 27215397 54430794