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51032448 = 2732311429
BaseRepresentation
bin1100001010101…
…1000110000000
310120000201100200
43002223012000
5101031014243
65021445200
71156524435
oct302530600
9116021320
1051032448
1126896485
1215110800
13a75a31c
146ac5b8c
154730ad3
hex30ab180

51032448 has 96 divisors (see below), whose sum is σ = 151694400. Its totient is φ = 16450560.

The previous prime is 51032447. The next prime is 51032477. The reversal of 51032448 is 84423015.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51032441) 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, 34998 + ... + 36426.

It is an arithmetic number, because the mean of its divisors is an integer number (1580150).

Almost surely, 251032448 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 51032448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75847200).

51032448 is an abundant number, since it is smaller than the sum of its proper divisors (100661952).

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

51032448 is a wasteful number, since it uses less digits than its factorization.

51032448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 51032448 is about 7143.6998817140. The cubic root of 51032448 is about 370.9216080498.

The spelling of 51032448 in words is "fifty-one million, thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1429 1488 1984 2232 2858 2976 3968 4287 4464 5716 5952 8574 8928 11432 11904 12861 17148 17856 22864 25722 34296 35712 44299 45728 51444 68592 88598 91456 102888 132897 137184 177196 182912 205776 265794 274368 354392 398691 411552 531588 548736 708784 797382 823104 1063176 1417568 1594764 1646208 2126352 2835136 3189528 4252704 5670272 6379056 8505408 12758112 17010816 25516224 51032448