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51308352 = 2632281317
BaseRepresentation
bin1100001110111…
…0011101000000
310120112201211100
43003232131000
5101113331402
65031414400
71162054014
oct303563500
9116481740
1051308352
1126a647a7
1215224400
13a825a94
146b58544
15478771c
hex30ee740

51308352 has 84 divisors (see below), whose sum is σ = 148055076. Its totient is φ = 16988160.

The previous prime is 51308321. The next prime is 51308357. The reversal of 51308352 is 25380315.

51308352 is a `hidden beast` number, since 5 + 1 + 308 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16451136 + 34857216 = 4056^2 + 5904^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51308357) 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, 161698 + ... + 162014.

Almost surely, 251308352 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 51308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027538).

51308352 is an abundant number, since it is smaller than the sum of its proper divisors (96746724).

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

51308352 is a wasteful number, since it uses less digits than its factorization.

51308352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 51308352 is about 7162.9848526993. The cubic root of 51308352 is about 371.5888624587.

Adding to 51308352 its reverse (25380315), we get a palindrome (76688667).

The spelling of 51308352 in words is "fifty-one million, three hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 281 288 317 562 576 634 843 951 1124 1268 1686 1902 2248 2529 2536 2853 3372 3804 4496 5058 5072 5706 6744 7608 8992 10116 10144 11412 13488 15216 17984 20232 20288 22824 26976 30432 40464 45648 53952 60864 80928 89077 91296 161856 178154 182592 267231 356308 534462 712616 801693 1068924 1425232 1603386 2137848 2850464 3206772 4275696 5700928 6413544 8551392 12827088 17102784 25654176 51308352