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432253513240 = 23529226348857
BaseRepresentation
bin1100100101001000101…
…00010010111000011000
31112022201111020121101021
412102210110102320120
524040223344410430
6530324032532224
743141434145213
oct6224424227030
91468644217337
10432253513240
1115735492626a
126b9349b1074
13319b8850313
1416cc7a1877a
15b39d2b007a
hex64a4512e18

432253513240 has 96 divisors (see below), whose sum is σ = 1011114355680. Its totient is φ = 166301133824.

The previous prime is 432253513189. The next prime is 432253513243. The reversal of 432253513240 is 42315352234.

It is a junction number, because it is equal to n+sod(n) for n = 432253513196 and 432253513205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432253513243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8822892 + ... + 8871748.

It is an arithmetic number, because the mean of its divisors is an integer number (10532441205).

Almost surely, 2432253513240 is an apocalyptic number.

432253513240 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 432253513240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505557177840).

432253513240 is an abundant number, since it is smaller than the sum of its proper divisors (578860842440).

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

432253513240 is a wasteful number, since it uses less digits than its factorization.

432253513240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49189 (or 49156 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 432253513240 its reverse (42315352234), we get a palindrome (474568865474).

The spelling of 432253513240 in words is "four hundred thirty-two billion, two hundred fifty-three million, five hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 263 290 526 580 841 1052 1160 1315 1682 2104 2630 3364 4205 5260 6728 7627 8410 10520 15254 16820 30508 33640 38135 48857 61016 76270 97714 152540 195428 221183 244285 305080 390856 442366 488570 884732 977140 1105915 1416853 1769464 1954280 2211830 2833706 4423660 5667412 7084265 8847320 11334824 12849391 14168530 25698782 28337060 41088737 51397564 56674120 64246955 82177474 102795128 128493910 164354948 205443685 256987820 328709896 372632339 410887370 513975640 745264678 821774740 1490529356 1643549480 1863161695 2981058712 3726323390 7452646780 10806337831 14905293560 21612675662 43225351324 54031689155 86450702648 108063378310 216126756620 432253513240