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51217152 = 283721361
BaseRepresentation
bin1100001101100…
…0001100000000
310120101002201120
43003120030000
5101102422102
65025432240
71161224100
oct303301400
9116332646
1051217152
1126a02228
121519b680
13a7c340c
146b33200
15476a6bc
hex30d8300

51217152 has 108 divisors (see below), whose sum is σ = 158683896. Its totient is φ = 14622720.

The previous prime is 51217151. The next prime is 51217183. The reversal of 51217152 is 25171215.

It is a super-2 number, since 2×512171522 = 5246393317982208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51217151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36952 + ... + 38312.

Almost surely, 251217152 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 51217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79341948).

51217152 is an abundant number, since it is smaller than the sum of its proper divisors (107466744).

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

51217152 is a wasteful number, since it uses less digits than its factorization.

51217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1373 counting only the distinct ones).

The product of its digits is 700, while the sum is 24.

The square root of 51217152 is about 7156.6159600750. The cubic root of 51217152 is about 371.3685669199.

Adding to 51217152 its reverse (25171215), we get a palindrome (76388367).

The spelling of 51217152 in words is "fifty-one million, two hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1361 1568 1792 2352 2688 2722 3136 4083 4704 5376 5444 6272 8166 9408 9527 10888 12544 16332 18816 19054 21776 28581 32664 37632 38108 43552 57162 65328 66689 76216 87104 114324 130656 133378 152432 174208 200067 228648 261312 266756 304864 348416 400134 457296 522624 533512 609728 800268 914592 1045248 1067024 1219456 1600536 1829184 2134048 2438912 3201072 3658368 4268096 6402144 7316736 8536192 12804288 17072384 25608576 51217152