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51484224 = 26311191283
BaseRepresentation
bin1100010001100…
…1011001000000
310120212200002010
43010121121000
5101134443344
65035252520
71163415531
oct304313100
9116780063
1051484224
1127074950
12152aa140
13a887b4c
146ba2688
1547be8b9
hex3119640

51484224 has 112 divisors (see below), whose sum is σ = 156545280. Its totient is φ = 14768640.

The previous prime is 51484219. The next prime is 51484229. The reversal of 51484224 is 42248415.

It is an interprime number because it is at equal distance from previous prime (51484219) and next prime (51484229).

It is a junction number, because it is equal to n+sod(n) for n = 51484191 and 51484200.

It is not an unprimeable number, because it can be changed into a prime (51484229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39487 + ... + 40769.

Almost surely, 251484224 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 51484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78272640).

51484224 is an abundant number, since it is smaller than the sum of its proper divisors (105061056).

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

51484224 is a wasteful number, since it uses less digits than its factorization.

51484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1318 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 51484224 is about 7175.2507970105. The cubic root of 51484224 is about 372.0129490232.

The spelling of 51484224 in words is "fifty-one million, four hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1283 1672 1824 2112 2508 2566 3344 3648 3849 5016 5132 6688 7698 10032 10264 13376 14113 15396 20064 20528 24377 28226 30792 40128 41056 42339 48754 56452 61584 73131 82112 84678 97508 112904 123168 146262 169356 195016 225808 246336 268147 292524 338712 390032 451616 536294 585048 677424 780064 804441 903232 1072588 1170096 1354848 1560128 1608882 2145176 2340192 2709696 3217764 4290352 4680384 6435528 8580704 12871056 17161408 25742112 51484224