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51394336 = 257273449
BaseRepresentation
bin1100010000001…
…1011100100000
310120201002202221
43010003130200
5101124104321
65033320424
71162562500
oct304033440
9116632687
1051394336
1127013364
1215266114
13a855c66
146b7ba00
1547a2e41
hex3103720

51394336 has 72 divisors (see below), whose sum is σ = 119580300. Its totient is φ = 21676032.

The previous prime is 51394327. The next prime is 51394363. The reversal of 51394336 is 63349315.

It can be written as a sum of positive squares in 2 ways, for example, as 50979600 + 414736 = 7140^2 + 644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114240 + ... + 114688.

Almost surely, 251394336 is an apocalyptic number.

51394336 is a gapful number since it is divisible by the number (56) 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 51394336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59790150).

51394336 is an abundant number, since it is smaller than the sum of its proper divisors (68185964).

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

51394336 is a wasteful number, since it uses less digits than its factorization.

51394336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 531 counting only the distinct ones).

The product of its digits is 29160, while the sum is 34.

The square root of 51394336 is about 7168.9843074176. The cubic root of 51394336 is about 371.7963196864.

It can be divided in two parts, 513 and 94336, that added together give a palindrome (94849).

The spelling of 51394336 in words is "fifty-one million, three hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 224 292 392 449 511 584 784 898 1022 1168 1568 1796 2044 2336 3143 3577 3592 4088 6286 7154 7184 8176 12572 14308 14368 16352 22001 25144 28616 32777 44002 50288 57232 65554 88004 100576 114464 131108 176008 229439 262216 352016 458878 524432 704032 917756 1048864 1606073 1835512 3212146 3671024 6424292 7342048 12848584 25697168 51394336