Search a number
-
+
51025464 = 2334721607
BaseRepresentation
bin1100001010100…
…1011000111000
310120000100210000
43002221120320
5101030303324
65021353000
71156465200
oct302513070
9116010700
1051025464
1126891206
1215108760
13a7570a9
146ac3400
15472d9c9
hex30a9638

51025464 has 120 divisors (see below), whose sum is σ = 166355640. Its totient is φ = 14569632.

The previous prime is 51025453. The next prime is 51025493. The reversal of 51025464 is 46452015.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30949 + ... + 32555.

It is an arithmetic number, because the mean of its divisors is an integer number (1386297).

Almost surely, 251025464 is an apocalyptic number.

51025464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51025464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83177820).

51025464 is an abundant number, since it is smaller than the sum of its proper divisors (115330176).

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

51025464 is a wasteful number, since it uses less digits than its factorization.

51025464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 51025464 is about 7143.2110426614. The cubic root of 51025464 is about 370.9046865630.

Adding to 51025464 its reverse (46452015), we get a palindrome (97477479).

The spelling of 51025464 in words is "fifty-one million, twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1607 1764 2268 2646 3214 3528 3969 4536 4821 5292 6428 7938 9642 10584 11249 12856 14463 15876 19284 22498 28926 31752 33747 38568 43389 44996 57852 67494 78743 86778 89992 101241 115704 130167 134988 157486 173556 202482 236229 260334 269976 303723 314972 347112 404964 472458 520668 607446 629944 708687 809928 911169 944916 1041336 1214892 1417374 1822338 1889832 2126061 2429784 2834748 3644676 4252122 5669496 6378183 7289352 8504244 12756366 17008488 25512732 51025464