Search a number
-
+
54704430 = 233511113163
BaseRepresentation
bin1101000010101…
…1100100101110
310210221021101000
43100223210232
5103001020210
65232301130
71232660064
oct320534456
9123837330
1054704430
1128974280
12163a17a6
13b4447b1
1473a0034
154c08ac0
hex342b92e

54704430 has 128 divisors (see below), whose sum is σ = 161533440. Its totient is φ = 13063680.

The previous prime is 54704417. The next prime is 54704443. The reversal of 54704430 is 3440745.

54704430 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 (54704417) and next prime (54704443).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54704394 and 54704403.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 335529 + ... + 335691.

It is an arithmetic number, because the mean of its divisors is an integer number (1261980).

Almost surely, 254704430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54704430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80766720).

54704430 is an abundant number, since it is smaller than the sum of its proper divisors (106829010).

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

54704430 is a wasteful number, since it uses less digits than its factorization.

54704430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 54704430 is about 7396.2443172194. The cubic root of 54704430 is about 379.6127865489.

The spelling of 54704430 in words is "fifty-four million, seven hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 113 135 163 165 198 226 270 297 326 330 339 489 495 565 594 678 815 978 990 1017 1130 1243 1467 1485 1630 1695 1793 2034 2445 2486 2934 2970 3051 3390 3586 3729 4401 4890 5085 5379 6102 6215 7335 7458 8802 8965 10170 10758 11187 12430 14670 15255 16137 17930 18419 18645 22005 22374 26895 30510 32274 33561 36838 37290 44010 48411 53790 55257 55935 67122 80685 92095 96822 110514 111870 161370 165771 167805 184190 202609 242055 276285 331542 335610 405218 484110 497313 552570 607827 828855 994626 1013045 1215654 1657710 1823481 2026090 2486565 3039135 3646962 4973130 5470443 6078270 9117405 10940886 18234810 27352215 54704430