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51069216 = 25311137353
BaseRepresentation
bin1100001011010…
…0000100100000
310120002120210110
43002310010200
5101033203331
65022331320
71160036562
oct302640440
9116076713
1051069216
1126911070
1215129b40
13a770c93
146ad5332
15473b946
hex30b4120

51069216 has 96 divisors (see below), whose sum is σ = 147728448. Its totient is φ = 15319040.

The previous prime is 51069211. The next prime is 51069233. The reversal of 51069216 is 61296015.

51069216 = T353 + T354 + ... + T704.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (51069211) 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, 144496 + ... + 144848.

It is an arithmetic number, because the mean of its divisors is an integer number (1538838).

Almost surely, 251069216 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 51069216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73864224).

51069216 is an abundant number, since it is smaller than the sum of its proper divisors (96659232).

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

51069216 is a wasteful number, since it uses less digits than its factorization.

51069216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 51069216 is about 7146.2728747229. The cubic root of 51069216 is about 371.0106675418.

The spelling of 51069216 in words is "fifty-one million, sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 137 176 264 274 352 353 411 528 548 706 822 1056 1059 1096 1412 1507 1644 2118 2192 2824 3014 3288 3883 4236 4384 4521 5648 6028 6576 7766 8472 9042 11296 11649 12056 13152 15532 16944 18084 23298 24112 31064 33888 36168 46596 48224 48361 62128 72336 93192 96722 124256 144672 145083 186384 193444 290166 372768 386888 531971 580332 773776 1063942 1160664 1547552 1595913 2127884 2321328 3191826 4255768 4642656 6383652 8511536 12767304 17023072 25534608 51069216