[go: up one dir, main page]

Search a number
-
+
51234768 = 2434133041
BaseRepresentation
bin1100001101110…
…0011111010000
310120101222220000
43003130133100
5101104003033
65030050000
71161326334
oct303343720
9116358800
1051234768
1126a14492
12151a9900
13a7cb440
146b397c4
154770a13
hex30dc7d0

51234768 has 100 divisors (see below), whose sum is σ = 159747588. Its totient is φ = 15759360.

The previous prime is 51234761. The next prime is 51234769. The reversal of 51234768 is 86743215.

51234768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31945104 + 19289664 = 5652^2 + 4392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51234761) 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 19 ways as a sum of consecutive naturals, for example, 15328 + ... + 18368.

Almost surely, 251234768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51234768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79873794).

51234768 is an abundant number, since it is smaller than the sum of its proper divisors (108512820).

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

51234768 is a wasteful number, since it uses less digits than its factorization.

51234768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3059 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 51234768 is about 7157.8466035533. The cubic root of 51234768 is about 371.4111391086.

The spelling of 51234768 in words is "fifty-one million, two hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 3041 4212 5616 6082 8424 9123 12164 16848 18246 24328 27369 36492 39533 48656 54738 72984 79066 82107 109476 118599 145968 158132 164214 218952 237198 246321 316264 328428 355797 437904 474396 492642 632528 656856 711594 948792 985284 1067391 1313712 1423188 1897584 1970568 2134782 2846376 3202173 3941136 4269564 5692752 6404346 8539128 12808692 17078256 25617384 51234768