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51530432 = 2619311367
BaseRepresentation
bin1100010010010…
…0101011000000
310120222000110112
43010210223000
5101142433212
65040250452
71164000332
oct304445300
9116860415
1051530432
11270a6638
1215310a28
13a8a2ba5
146bb5452
1547cd422
hex3124ac0

51530432 has 56 divisors (see below), whose sum is σ = 111191040. Its totient is φ = 23604480.

The previous prime is 51530429. The next prime is 51530449. The reversal of 51530432 is 23403515.

It is a junction number, because it is equal to n+sod(n) for n = 51530398 and 51530407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37013 + ... + 38379.

Almost surely, 251530432 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 51530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55595520).

51530432 is an abundant number, since it is smaller than the sum of its proper divisors (59660608).

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

51530432 is a wasteful number, since it uses less digits than its factorization.

51530432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 51530432 is about 7178.4700319776. The cubic root of 51530432 is about 372.1242118063.

Adding to 51530432 its reverse (23403515), we get a palindrome (74933947).

The spelling of 51530432 in words is "fifty-one million, five hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 152 248 304 496 589 608 992 1178 1216 1367 1984 2356 2734 4712 5468 9424 10936 18848 21872 25973 37696 42377 43744 51946 84754 87488 103892 169508 207784 339016 415568 678032 805163 831136 1356064 1610326 1662272 2712128 3220652 6441304 12882608 25765216 51530432