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54326064 = 24313237181
BaseRepresentation
bin1100111100111…
…1001100110000
310210020001100110
43033033030300
5102401413224
65220221320
71226523012
oct317171460
9123201313
1054326064
1128735a81
121623a840
13b341500
1473021b2
154b81929
hex33cf330

54326064 has 120 divisors (see below), whose sum is σ = 156937872. Its totient is φ = 16174080.

The previous prime is 54326039. The next prime is 54326081. The reversal of 54326064 is 46062345.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300054 + ... + 300234.

Almost surely, 254326064 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 54326064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78468936).

54326064 is an abundant number, since it is smaller than the sum of its proper divisors (102611808).

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

54326064 is a wasteful number, since it uses less digits than its factorization.

54326064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 54326064 is about 7370.6216834131. The cubic root of 54326064 is about 378.7355571833.

The spelling of 54326064 in words is "fifty-four million, three hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 169 181 208 222 296 312 338 362 444 481 507 543 592 624 676 724 888 962 1014 1086 1352 1443 1448 1776 1924 2028 2172 2353 2704 2886 2896 3848 4056 4344 4706 5772 6253 6697 7059 7696 8112 8688 9412 11544 12506 13394 14118 18759 18824 20091 23088 25012 26788 28236 30589 37518 37648 40182 50024 53576 56472 61178 75036 80364 87061 91767 100048 107152 112944 122356 150072 160728 174122 183534 244712 261183 300144 321456 348244 367068 489424 522366 696488 734136 1044732 1131793 1392976 1468272 2089464 2263586 3395379 4178928 4527172 6790758 9054344 13581516 18108688 27163032 54326064