Search a number
-
+
51029748 = 223271141449
BaseRepresentation
bin1100001010101…
…0011011110100
310120000120122200
43002222123310
5101030422443
65021424500
71156513530
oct302523364
9116016580
1051029748
1126894450
121510b130
13a759023
146ac4bc0
15472edd3
hex30aa6f4

51029748 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 12902400.

The previous prime is 51029747. The next prime is 51029773. The reversal of 51029748 is 84792015.

51029748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 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 (51029747) 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 47 ways as a sum of consecutive naturals, for example, 113428 + ... + 113876.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 251029748 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 51029748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

51029748 is an abundant number, since it is smaller than the sum of its proper divisors (114080652).

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

51029748 is a wasteful number, since it uses less digits than its factorization.

51029748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 51029748 is about 7143.5109015105. The cubic root of 51029748 is about 370.9150664210.

The spelling of 51029748 in words is "fifty-one million, twenty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 449 451 462 492 574 693 738 861 898 902 924 1148 1347 1353 1386 1476 1722 1796 1804 2583 2694 2706 2772 3143 3157 3444 4041 4059 4939 5166 5388 5412 6286 6314 8082 8118 9429 9471 9878 10332 12572 12628 14817 16164 16236 18409 18858 18942 19756 28287 28413 29634 34573 36818 37716 37884 44451 55227 56574 56826 59268 69146 73636 88902 103719 110454 113148 113652 128863 138292 165681 177804 202499 207438 220908 257726 311157 331362 386589 404998 414876 515452 607497 622314 662724 773178 809996 1159767 1214994 1244628 1417493 1546356 1822491 2319534 2429988 2834986 3644982 4252479 4639068 5669972 7289964 8504958 12757437 17009916 25514874 51029748