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252483240 = 233597109199
BaseRepresentation
bin11110000110010…
…01011010101000
3122121002110220010
433003021122220
51004113430430
641015331520
76154033512
oct1703113250
9577073803
10252483240
1111a57a439
1270680ba0
1340401a89
1425764bb2
1517274cb0
hexf0c96a8

252483240 has 128 divisors (see below), whose sum is σ = 776160000. Its totient is φ = 65691648.

The previous prime is 252483223. The next prime is 252483241. The reversal of 252483240 is 42384252.

252483240 is digitally balanced in base 3, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 252483198 and 252483207.

It is not an unprimeable number, because it can be changed into a prime (252483241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268661 + ... + 1268859.

It is an arithmetic number, because the mean of its divisors is an integer number (6063750).

Almost surely, 2252483240 is an apocalyptic number.

252483240 is a gapful number since it is divisible by the number (20) 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 252483240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388080000).

252483240 is an abundant number, since it is smaller than the sum of its proper divisors (523676760).

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

252483240 is a wasteful number, since it uses less digits than its factorization.

252483240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 252483240 is about 15889.7212058614. The cubic root of 252483240 is about 632.0394476793.

The spelling of 252483240 in words is "two hundred fifty-two million, four hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 109 120 194 199 218 291 327 388 398 436 485 545 582 597 654 776 796 872 970 995 1090 1164 1194 1308 1455 1592 1635 1940 1990 2180 2328 2388 2616 2910 2985 3270 3880 3980 4360 4776 5820 5970 6540 7960 10573 11640 11940 13080 19303 21146 21691 23880 31719 38606 42292 43382 52865 57909 63438 65073 77212 84584 86764 96515 105730 108455 115818 126876 130146 154424 158595 173528 193030 211460 216910 231636 253752 260292 289545 317190 325365 386060 422920 433820 463272 520584 579090 634380 650730 772120 867640 1158180 1268760 1301460 2104027 2316360 2602920 4208054 6312081 8416108 10520135 12624162 16832216 21040270 25248324 31560405 42080540 50496648 63120810 84161080 126241620 252483240