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252420350 = 252713291913
BaseRepresentation
bin11110000101110…
…10000011111110
3122120222021121212
433002322003332
51004104422400
641014124422
76153352250
oct1702720376
9576867555
10252420350
1111a537166
1270650712
13403ac270
1425749cd0
1517261335
hexf0ba0fe

252420350 has 96 divisors (see below), whose sum is σ = 598086720. Its totient is φ = 77091840.

The previous prime is 252420341. The next prime is 252420359. The reversal of 252420350 is 53024252.

It is an interprime number because it is at equal distance from previous prime (252420341) and next prime (252420359).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252420359) 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, 130994 + ... + 132906.

It is an arithmetic number, because the mean of its divisors is an integer number (6230070).

Almost surely, 2252420350 is an apocalyptic number.

252420350 is an abundant number, since it is smaller than the sum of its proper divisors (345666370).

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

252420350 is a wasteful number, since it uses less digits than its factorization.

252420350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 252420350 is about 15887.7421303343. The cubic root of 252420350 is about 631.9869659626.

The spelling of 252420350 in words is "two hundred fifty-two million, four hundred twenty thousand, three hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 29 35 50 58 65 70 91 130 145 175 182 203 290 325 350 377 406 455 650 725 754 910 1015 1450 1885 1913 2030 2275 2639 3770 3826 4550 5075 5278 9425 9565 10150 13195 13391 18850 19130 24869 26390 26782 47825 49738 55477 65975 66955 95650 110954 124345 131950 133910 174083 248690 277385 334775 348166 388339 554770 621725 669550 721201 776678 870415 1243450 1386925 1442402 1740830 1941695 2773850 3606005 3883390 4352075 5048407 7212010 8704150 9708475 10096814 18030025 19416950 25242035 36060050 50484070 126210175 252420350