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532040040 = 233257230161
BaseRepresentation
bin11111101101100…
…100100101101000
31101002010102201200
4133231210211220
52042200240130
6124443244200
716120160100
oct3755444550
91332112650
10532040040
11253360614
1212a219660
13862c27bc
1450936200
1531a96760
hex1fb64968

532040040 has 144 divisors (see below), whose sum is σ = 2011503780. Its totient is φ = 121605120.

The previous prime is 532040027. The next prime is 532040063. The reversal of 532040040 is 40040235.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 527804676 + 4235364 = 22974^2 + 2058^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 532039995 and 532040022.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2560 + ... + 32720.

Almost surely, 2532040040 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 532040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005751890).

532040040 is an abundant number, since it is smaller than the sum of its proper divisors (1479463740).

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

532040040 is a wasteful number, since it uses less digits than its factorization.

532040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30192 (or 30178 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 532040040 is about 23065.9931500900. The cubic root of 532040040 is about 810.3042295695.

Adding to 532040040 its reverse (40040235), we get a palindrome (572080275).

The spelling of 532040040 in words is "five hundred thirty-two million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 30161 60322 90483 120644 150805 180966 211127 241288 271449 301610 361932 422254 452415 542898 603220 633381 723864 844508 904830 1055635 1085796 1206440 1266762 1357245 1477889 1689016 1809660 1900143 2111270 2171592 2533524 2714490 2955778 3166905 3619320 3800286 4222540 4433667 5067048 5428980 5911556 6333810 7389445 7600572 8445080 8867334 9500715 10857960 11823112 12667620 13301001 14778890 15201144 17734668 19001430 22168335 25335240 26602002 29557780 35469336 38002860 44336670 53204004 59115560 66505005 76005720 88673340 106408008 133010010 177346680 266020020 532040040