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53146128 = 2437612593
BaseRepresentation
bin1100101010111…
…1001000010000
310201000002210010
43022233020100
5102101134003
65135034520
71213506660
oct312571020
9121002703
1053146128
1127aaa522
121596ba40
13b01a419
1470b61a0
1549ec003
hex32af210

53146128 has 80 divisors (see below), whose sum is σ = 159541376. Its totient is φ = 14929920.

The previous prime is 53146109. The next prime is 53146133. The reversal of 53146128 is 82164135.

It is a junction number, because it is equal to n+sod(n) for n = 53146095 and 53146104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19200 + ... + 21792.

Almost surely, 253146128 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 53146128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79770688).

53146128 is an abundant number, since it is smaller than the sum of its proper divisors (106395248).

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

53146128 is a wasteful number, since it uses less digits than its factorization.

53146128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2666 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 53146128 is about 7290.1390933233. The cubic root of 53146128 is about 375.9734778335.

The spelling of 53146128 in words is "fifty-three million, one hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2593 2928 3416 5124 5186 6832 7779 10248 10372 15558 18151 20496 20744 31116 36302 41488 54453 62232 72604 108906 124464 145208 158173 217812 290416 316346 435624 474519 632692 871248 949038 1107211 1265384 1898076 2214422 2530768 3321633 3796152 4428844 6643266 7592304 8857688 13286532 17715376 26573064 53146128