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54052240 = 24511239257
BaseRepresentation
bin1100111000110…
…0010110010000
310202201010201211
43032030112100
5102314132430
65210305504
71224302464
oct316142620
9122633654
1054052240
1128569280
1216128294
13b276998
1472704a4
154b2a72a
hex338c590

54052240 has 80 divisors (see below), whose sum is σ = 138205440. Its totient is φ = 19496960.

The previous prime is 54052223. The next prime is 54052249. The reversal of 54052240 is 4225045.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (54052249) by changing a digit.

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, 210192 + ... + 210448.

It is an arithmetic number, because the mean of its divisors is an integer number (1727568).

Almost surely, 254052240 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 54052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69102720).

54052240 is an abundant number, since it is smaller than the sum of its proper divisors (84153200).

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

54052240 is a wasteful number, since it uses less digits than its factorization.

54052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 54052240 is about 7352.0228508894. The cubic root of 54052240 is about 378.0981613808.

Adding to 54052240 its reverse (4225045), we get a palindrome (58277285).

The spelling of 54052240 in words is "fifty-four million, fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 239 257 440 478 514 880 956 1028 1195 1285 1912 2056 2390 2570 2629 2827 3824 4112 4780 5140 5258 5654 9560 10280 10516 11308 13145 14135 19120 20560 21032 22616 26290 28270 42064 45232 52580 56540 61423 105160 113080 122846 210320 226160 245692 307115 491384 614230 675653 982768 1228460 1351306 2456920 2702612 3378265 4913840 5405224 6756530 10810448 13513060 27026120 54052240