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452032040 = 235171959593
BaseRepresentation
bin11010111100010…
…111011000101000
31011111120121101102
4122330113120220
51411210011130
6112504340532
714126131445
oct3274273050
91144517342
10452032040
112121843a9
12107474748
137285b8a5
144406a9cc
1529a40645
hex1af17628

452032040 has 128 divisors (see below), whose sum is σ = 1154736000. Its totient is φ = 158220288.

The previous prime is 452032001. The next prime is 452032043. The reversal of 452032040 is 40230254.

452032040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (452032043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761984 + ... + 762576.

It is an arithmetic number, because the mean of its divisors is an integer number (9021375).

Almost surely, 2452032040 is an apocalyptic number.

452032040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577368000).

452032040 is an abundant number, since it is smaller than the sum of its proper divisors (702703960).

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

452032040 is a wasteful number, since it uses less digits than its factorization.

452032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 452032040 is about 21261.0451295321. The cubic root of 452032040 is about 767.4611608409.

Adding to 452032040 its reverse (40230254), we get a palindrome (492262294).

The spelling of 452032040 in words is "four hundred fifty-two million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 59 68 76 85 95 118 136 152 170 190 236 295 323 340 380 472 590 593 646 680 760 1003 1121 1180 1186 1292 1615 2006 2242 2360 2372 2584 2965 3230 4012 4484 4744 5015 5605 5930 6460 8024 8968 10030 10081 11210 11267 11860 12920 19057 20060 20162 22420 22534 23720 34987 38114 40120 40324 44840 45068 50405 56335 69974 76228 80648 90136 95285 100810 112670 139948 152456 174935 190570 191539 201620 225340 279896 349870 381140 383078 403240 450680 594779 664753 699740 762280 766156 957695 1189558 1329506 1399480 1532312 1915390 2379116 2659012 2973895 3323765 3830780 4758232 5318024 5947790 6647530 7661560 11300801 11895580 13295060 22601602 23791160 26590120 45203204 56504005 90406408 113008010 226016020 452032040