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539775040 = 26572310477
BaseRepresentation
bin100000001011000…
…101000001000000
31101121200102011011
4200023011001000
52101140300130
6125321130304
716243004110
oct4013050100
91347612134
10539775040
11257763a82
12130929994
1387aa041c
145198b040
15325c352a
hex202c5040

539775040 has 112 divisors (see below), whose sum is σ = 1532973312. Its totient is φ = 177002496.

The previous prime is 539774969. The next prime is 539775059. The reversal of 539775040 is 40577935.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 539774984 and 539775002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46282 + ... + 56758.

Almost surely, 2539775040 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 539775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766486656).

539775040 is an abundant number, since it is smaller than the sum of its proper divisors (993198272).

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

539775040 is a wasteful number, since it uses less digits than its factorization.

539775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10524 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 40.

The square root of 539775040 is about 23233.0592045043. The cubic root of 539775040 is about 814.2121886448.

The spelling of 539775040 in words is "five hundred thirty-nine million, seven hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1472 1610 1840 2240 2576 3220 3680 5152 6440 7360 10304 10477 12880 20954 25760 41908 51520 52385 73339 83816 104770 146678 167632 209540 240971 293356 335264 366695 419080 481942 586712 670528 733390 838160 963884 1173424 1204855 1466780 1676320 1686797 1927768 2346848 2409710 2933560 3352640 3373594 3855536 4693696 4819420 5867120 6747188 7711072 8433985 9638840 11734240 13494376 15422144 16867970 19277680 23468480 26988752 33735940 38555360 53977504 67471880 77110720 107955008 134943760 269887520 539775040