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54126774 = 232132389113
BaseRepresentation
bin1100111001111…
…0100010110110
310202211220222100
43032132202312
5102324024044
65212042530
71225033002
oct316364266
9122756870
1054126774
112860a279
1216163446
13b2a18a0
14728d702
154b42869
hex339e8b6

54126774 has 96 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 15611904.

The previous prime is 54126773. The next prime is 54126781. The reversal of 54126774 is 47762145.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54126773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478942 + ... + 479054.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 254126774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54126774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

54126774 is an abundant number, since it is smaller than the sum of its proper divisors (80320266).

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

54126774 is a wasteful number, since it uses less digits than its factorization.

54126774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 54126774 is about 7357.0900497411. The cubic root of 54126774 is about 378.2718712649.

Adding to 54126774 its sum of digits (36), we get a triangular number (54126810 = T10404).

The spelling of 54126774 in words is "fifty-four million, one hundred twenty-six thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 89 113 117 138 178 207 226 234 267 299 339 414 534 598 678 801 897 1017 1157 1469 1602 1794 2034 2047 2314 2599 2691 2938 3471 4094 4407 5198 5382 6141 6942 7797 8814 10057 10413 12282 13221 15594 18423 20114 20826 23391 26442 26611 30171 33787 36846 46782 53222 60342 67574 79833 90513 101361 130741 159666 181026 202722 231311 239499 261482 304083 392223 462622 478998 608166 693933 784446 1176669 1387866 2081799 2353338 3007043 4163598 6014086 9021129 18042258 27063387 54126774