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51424032 = 25311219233
BaseRepresentation
bin1100010000101…
…0101100100000
310120202121111210
43010022230200
5101131032112
65034110120
71163045202
oct304125440
9116677453
1051424032
1127033700
121527b340
13a86662a
146b88772
1547abb3c
hex310ab20

51424032 has 144 divisors (see below), whose sum is σ = 156854880. Its totient is φ = 14699520.

The previous prime is 51424027. The next prime is 51424033. The reversal of 51424032 is 23042415.

It is not an unprimeable number, because it can be changed into a prime (51424033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220588 + ... + 220820.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 251424032 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 51424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

51424032 is an abundant number, since it is smaller than the sum of its proper divisors (105430848).

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

51424032 is a wasteful number, since it uses less digits than its factorization.

51424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 51424032 is about 7171.0551524863. The cubic root of 51424032 is about 371.8679147204.

Adding to 51424032 its reverse (23042415), we get a palindrome (74466447).

The spelling of 51424032 in words is "fifty-one million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 121 132 152 176 209 228 233 242 264 304 352 363 418 456 466 484 528 608 627 699 726 836 912 932 968 1056 1254 1398 1452 1672 1824 1864 1936 2299 2508 2563 2796 2904 3344 3728 3872 4427 4598 5016 5126 5592 5808 6688 6897 7456 7689 8854 9196 10032 10252 11184 11616 13281 13794 15378 17708 18392 20064 20504 22368 26562 27588 28193 30756 35416 36784 41008 48697 53124 55176 56386 61512 70832 73568 82016 84579 97394 106248 110352 112772 123024 141664 146091 169158 194788 212496 220704 225544 246048 292182 338316 389576 424992 451088 535667 584364 676632 779152 902176 1071334 1168728 1353264 1558304 1607001 2142668 2337456 2706528 3214002 4285336 4674912 6428004 8570672 12856008 17141344 25712016 51424032