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51603132 = 22375367173
BaseRepresentation
bin1100010011011…
…0011010111100
310121002201012010
43010312122330
5101202300012
65042011220
71164422310
oct304663274
9117081163
1051603132
1127146219
1215346b10
13a8c9cc9
146bd3b40
1547e4c3c
hex31366bc

51603132 has 96 divisors (see below), whose sum is σ = 143119872. Its totient is φ = 14167296.

The previous prime is 51603131. The next prime is 51603137. The reversal of 51603132 is 23130615.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 51603099 and 51603108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51603131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298198 + ... + 298370.

It is an arithmetic number, because the mean of its divisors is an integer number (1490832).

Almost surely, 251603132 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 51603132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71559936).

51603132 is an abundant number, since it is smaller than the sum of its proper divisors (91516740).

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

51603132 is a wasteful number, since it uses less digits than its factorization.

51603132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 51603132 is about 7183.5320003463. The cubic root of 51603132 is about 372.2991292718.

Adding to 51603132 its reverse (23130615), we get a palindrome (74733747).

The spelling of 51603132 in words is "fifty-one million, six hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 67 84 106 134 159 173 201 212 268 318 346 371 402 469 519 636 692 742 804 938 1038 1113 1211 1407 1484 1876 2076 2226 2422 2814 3551 3633 4452 4844 5628 7102 7266 9169 10653 11591 14204 14532 18338 21306 23182 24857 27507 34773 36676 42612 46364 49714 55014 64183 69546 74571 81137 99428 110028 128366 139092 149142 162274 192549 243411 256732 298284 324548 385098 486822 614323 770196 973644 1228646 1842969 2457292 3685938 4300261 7371876 8600522 12900783 17201044 25801566 51603132