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51432048 = 24322353293
BaseRepresentation
bin1100010000110…
…0101001110000
310120210000111200
43010030221300
5101131311143
65034211200
71163110443
oct304145160
9116700450
1051432048
1127039728
1215283b00
13a86a185
146b8b65a
1547ae1d3
hex310ca70

51432048 has 120 divisors (see below), whose sum is σ = 153552672. Its totient is φ = 16034304.

The previous prime is 51432047. The next prime is 51432061. The reversal of 51432048 is 84023415.

It is a super-2 number, since 2×514320482 = 5290511122948608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51432047) 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, 175390 + ... + 175682.

Almost surely, 251432048 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 51432048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76776336).

51432048 is an abundant number, since it is smaller than the sum of its proper divisors (102120624).

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

51432048 is a wasteful number, since it uses less digits than its factorization.

51432048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 51432048 is about 7171.6140442720. The cubic root of 51432048 is about 371.8872360261.

The spelling of 51432048 in words is "fifty-one million, four hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 53 69 72 92 106 138 144 159 184 207 212 276 293 318 368 414 424 477 552 586 636 828 848 879 954 1104 1172 1219 1272 1656 1758 1908 2344 2438 2544 2637 3312 3516 3657 3816 4688 4876 5274 6739 7032 7314 7632 9752 10548 10971 13478 14064 14628 15529 19504 20217 21096 21942 26956 29256 31058 40434 42192 43884 46587 53912 58512 60651 62116 80868 87768 93174 107824 121302 124232 139761 161736 175536 186348 242604 248464 279522 323472 357167 372696 485208 559044 714334 745392 970416 1071501 1118088 1428668 2143002 2236176 2857336 3214503 4286004 5714672 6429006 8572008 12858012 17144016 25716024 51432048