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452161140 = 223523547599
BaseRepresentation
bin11010111100110…
…110111001110100
31011111211011110220
4122330312321310
51411223124030
6112511214340
714130210024
oct3274667164
91144734426
10452161140
112122623a2
121075173b0
13728a5592
14440a1a84
1529a68a10
hex1af36e74

452161140 has 96 divisors (see below), whose sum is σ = 1325721600. Its totient is φ = 114930816.

The previous prime is 452161093. The next prime is 452161147. The reversal of 452161140 is 41161254.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 452161140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452161147) 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, 754561 + ... + 755159.

It is an arithmetic number, because the mean of its divisors is an integer number (13809600).

Almost surely, 2452161140 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 452161140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662860800).

452161140 is an abundant number, since it is smaller than the sum of its proper divisors (873560460).

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

452161140 is a wasteful number, since it uses less digits than its factorization.

452161140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 452161140 is about 21264.0809817871. The cubic root of 452161140 is about 767.5342159906.

The spelling of 452161140 in words is "four hundred fifty-two million, one hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 547 599 690 1094 1198 1380 1641 1797 2188 2396 2735 2995 3282 3594 5470 5990 6564 7188 8205 8985 10940 11980 12581 13777 16410 17970 25162 27554 32820 35940 37743 41331 50324 55108 62905 68885 75486 82662 125810 137770 150972 165324 188715 206655 251620 275540 327653 377430 413310 655306 754860 826620 982959 1310612 1638265 1965918 3276530 3931836 4914795 6553060 7536019 9829590 15072038 19659180 22608057 30144076 37680095 45216114 75360190 90432228 113040285 150720380 226080570 452161140