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51398112 = 2536167131
BaseRepresentation
bin1100010000010…
…0010111100000
310120201021221210
43010010113200
5101124214422
65033350120
71162606503
oct304042740
9116637853
1051398112
1127016187
1215268340
13a8578ac
146b7d13a
1547a410c
hex31045e0

51398112 has 96 divisors (see below), whose sum is σ = 140241024. Its totient is φ = 16473600.

The previous prime is 51398071. The next prime is 51398117. The reversal of 51398112 is 21189315.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 51398112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51398117) 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, 392287 + ... + 392417.

It is an arithmetic number, because the mean of its divisors is an integer number (1460844).

Almost surely, 251398112 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 51398112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120512).

51398112 is an abundant number, since it is smaller than the sum of its proper divisors (88842912).

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

51398112 is a wasteful number, since it uses less digits than its factorization.

51398112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 51398112 is about 7169.2476592736. The cubic root of 51398112 is about 371.8054248955.

The spelling of 51398112 in words is "fifty-one million, three hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 67 96 122 131 134 183 201 244 262 268 366 393 402 488 524 536 732 786 804 976 1048 1072 1464 1572 1608 1952 2096 2144 2928 3144 3216 4087 4192 5856 6288 6432 7991 8174 8777 12261 12576 15982 16348 17554 23973 24522 26331 31964 32696 35108 47946 49044 52662 63928 65392 70216 95892 98088 105324 127856 130784 140432 191784 196176 210648 255712 280864 383568 392352 421296 535397 767136 842592 1070794 1606191 2141588 3212382 4283176 6424764 8566352 12849528 17132704 25699056 51398112