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252146250 = 2335431241
BaseRepresentation
bin11110000011101…
…11001001001010
3122120110100122000
433001313021022
51004022140000
641004211430
76151131156
oct1701671112
9576410560
10252146250
1111a36a234
1270539b76
1340314585
14256b8066
151720a000
hexf07724a

252146250 has 160 divisors (see below), whose sum is σ = 725767680. Its totient is φ = 64800000.

The previous prime is 252146243. The next prime is 252146273. The reversal of 252146250 is 52641252.

252146250 is a `hidden beast` number, since 25 + 2 + 14 + 625 + 0 = 666.

252146250 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1046130 + ... + 1046370.

It is an arithmetic number, because the mean of its divisors is an integer number (4536048).

Almost surely, 2252146250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252146250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362883840).

252146250 is an abundant number, since it is smaller than the sum of its proper divisors (473621430).

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

252146250 is a wasteful number, since it uses less digits than its factorization.

252146250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 252146250 is about 15879.1136402508. The cubic root of 252146250 is about 631.7581276153.

The spelling of 252146250 in words is "two hundred fifty-two million, one hundred forty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 90 93 125 135 150 155 186 225 241 250 270 279 310 375 450 465 482 558 625 675 723 750 775 837 930 1125 1205 1250 1350 1395 1446 1550 1674 1875 2169 2250 2325 2410 2790 3375 3615 3750 3875 4185 4338 4650 5625 6025 6507 6750 6975 7230 7471 7750 8370 10845 11250 11625 12050 13014 13950 14942 16875 18075 19375 20925 21690 22413 23250 30125 32535 33750 34875 36150 37355 38750 41850 44826 54225 58125 60250 65070 67239 69750 74710 90375 104625 108450 112065 116250 134478 150625 162675 174375 180750 186775 201717 209250 224130 271125 301250 325350 336195 348750 373550 403434 451875 523125 542250 560325 672390 813375 903750 933875 1008585 1046250 1120650 1355625 1626750 1680975 1867750 2017170 2711250 2801625 3361950 4066875 4669375 5042925 5603250 8133750 8404875 9338750 10085850 14008125 16809750 25214625 28016250 42024375 50429250 84048750 126073125 252146250