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54039240 = 23325374057
BaseRepresentation
bin1100111000100…
…1001011001000
310202200110220100
43032021023020
5102313223430
65210125400
71224216543
oct316111310
9122613810
1054039240
112855a532
1216120860
13b270aa8
14726985a
154b26960
hex33892c8

54039240 has 96 divisors (see below), whose sum is σ = 180418680. Its totient is φ = 14017536.

The previous prime is 54039233. The next prime is 54039241. The reversal of 54039240 is 4293045.

It can be written as a sum of positive squares in 4 ways, for example, as 51236964 + 2802276 = 7158^2 + 1674^2 .

It is not an unprimeable number, because it can be changed into a prime (54039241) 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 23 ways as a sum of consecutive naturals, for example, 11292 + ... + 15348.

Almost surely, 254039240 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 54039240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90209340).

54039240 is an abundant number, since it is smaller than the sum of its proper divisors (126379440).

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

54039240 is a wasteful number, since it uses less digits than its factorization.

54039240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 54039240 is about 7351.1386873055. The cubic root of 54039240 is about 378.0678470639.

The spelling of 54039240 in words is "fifty-four million, thirty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4057 4440 6660 8114 12171 13320 16228 20285 24342 32456 36513 40570 48684 60855 73026 81140 97368 121710 146052 150109 162280 182565 243420 292104 300218 365130 450327 486840 600436 730260 750545 900654 1200872 1350981 1460520 1501090 1801308 2251635 2701962 3002180 3602616 4503270 5403924 6004360 6754905 9006540 10807848 13509810 18013080 27019620 54039240