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51430032 = 24331747149
BaseRepresentation
bin1100010000110…
…0001010010000
310120202220202000
43010030022100
5101131230112
65034154000
71163101533
oct304141220
9116686660
1051430032
1127038165
1215282900
13a869294
146b8aa1a
1547ad7dc
hex310c290

51430032 has 160 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 15685632.

The previous prime is 51430019. The next prime is 51430039. The reversal of 51430032 is 23003415.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51429987 and 51430014.

It is not an unprimeable number, because it can be changed into a prime (51430039) 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, 345094 + ... + 345242.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 251430032 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 51430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

51430032 is an abundant number, since it is smaller than the sum of its proper divisors (109273968).

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

51430032 is a wasteful number, since it uses less digits than its factorization.

51430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 51430032 is about 7171.4734887609. The cubic root of 51430032 is about 371.8823769645.

Adding to 51430032 its reverse (23003415), we get a palindrome (74433447).

The spelling of 51430032 in words is "fifty-one million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 47 48 51 54 68 72 94 102 108 136 141 144 149 153 188 204 216 272 282 298 306 376 408 423 432 447 459 564 596 612 752 799 816 846 894 918 1128 1192 1224 1269 1341 1598 1692 1788 1836 2256 2384 2397 2448 2533 2538 2682 3196 3384 3576 3672 4023 4794 5066 5076 5364 6392 6768 7003 7152 7191 7344 7599 8046 9588 10132 10152 10728 12784 14006 14382 15198 16092 19176 20264 20304 21009 21456 21573 22797 28012 28764 30396 32184 38352 40528 42018 43146 45594 56024 57528 60792 63027 64368 68391 84036 86292 91188 112048 115056 119051 121584 126054 136782 168072 172584 182376 189081 238102 252108 273564 336144 345168 357153 364752 378162 476204 504216 547128 714306 756324 952408 1008432 1071459 1094256 1428612 1512648 1904816 2142918 2857224 3025296 3214377 4285836 5714448 6428754 8571672 12857508 17143344 25715016 51430032