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252397260 = 2232561127181
BaseRepresentation
bin11110000101101…
…00011011001100
3122120221002221200
433002310123030
51004103203020
641013425500
76153225033
oct1702643314
9576832850
10252397260
1111a520885
127063b290
13403a18bb
142574171a
1517259590
hexf0b46cc

252397260 has 144 divisors (see below), whose sum is σ = 788616192. Its totient is φ = 65318400.

The previous prime is 252397247. The next prime is 252397267. The reversal of 252397260 is 62793252.

252397260 is a `hidden beast` number, since 2 + 5 + 2 + 397 + 260 = 666.

252397260 is digitally balanced in base 2, 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 (36).

It is not an unprimeable number, because it can be changed into a prime (252397267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394370 + ... + 1394550.

Almost surely, 2252397260 is an apocalyptic number.

252397260 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 252397260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394308096).

252397260 is an abundant number, since it is smaller than the sum of its proper divisors (536218932).

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

252397260 is a wasteful number, since it uses less digits than its factorization.

252397260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 252397260 is about 15887.0154528785. The cubic root of 252397260 is about 631.9676951655.

The spelling of 252397260 in words is "two hundred fifty-two million, three hundred ninety-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 127 180 181 183 244 254 305 362 366 381 508 543 549 610 635 724 732 762 905 915 1086 1098 1143 1220 1270 1524 1629 1810 1830 1905 2172 2196 2286 2540 2715 2745 3258 3620 3660 3810 4572 5430 5490 5715 6516 7620 7747 8145 10860 10980 11041 11430 15494 16290 22082 22860 22987 23241 30988 32580 33123 38735 44164 45974 46482 55205 66246 68961 69723 77470 91948 92964 99369 110410 114935 116205 132492 137922 139446 154940 165615 198738 206883 220820 229870 232410 275844 278892 331230 344805 348615 397476 413766 459740 464820 496845 662460 689610 697230 827532 993690 1034415 1379220 1394460 1402207 1987380 2068830 2804414 4137660 4206621 5608828 7011035 8413242 12619863 14022070 16826484 21033105 25239726 28044140 42066210 50479452 63099315 84132420 126198630 252397260