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250428240 = 24335269431
BaseRepresentation
bin11101110110100…
…11101101010000
3122110020001222000
432323103231100
51003102200430
640503314000
76130414326
oct1673235520
9573201860
10250428240
111193a6497
126ba4b900
133cb625ba
142538bd16
1516ebae60
hexeed3b50

250428240 has 160 divisors (see below), whose sum is σ = 867801600. Its totient is φ = 66378240.

The previous prime is 250428239. The next prime is 250428251. The reversal of 250428240 is 42824052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580825 + ... + 581255.

It is an arithmetic number, because the mean of its divisors is an integer number (5423760).

Almost surely, 2250428240 is an apocalyptic number.

250428240 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 250428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433900800).

250428240 is an abundant number, since it is smaller than the sum of its proper divisors (617373360).

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

250428240 is a wasteful number, since it uses less digits than its factorization.

250428240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 250428240 is about 15824.9246443703. The cubic root of 250428240 is about 630.3200188196.

The spelling of 250428240 in words is "two hundred fifty million, four hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 269 270 360 431 432 538 540 720 807 862 1076 1080 1293 1345 1614 1724 2152 2155 2160 2421 2586 2690 3228 3448 3879 4035 4304 4310 4842 5172 5380 6456 6465 6896 7263 7758 8070 8620 9684 10344 10760 11637 12105 12912 12930 14526 15516 16140 17240 19368 19395 20688 21520 23274 24210 25860 29052 31032 32280 34480 36315 38736 38790 46548 48420 51720 58104 58185 62064 64560 72630 77580 93096 96840 103440 115939 116208 116370 145260 155160 186192 193680 231878 232740 290520 310320 347817 463756 465480 579695 581040 695634 927512 930960 1043451 1159390 1391268 1739085 1855024 2086902 2318780 2782536 3130353 3478170 4173804 4637560 5217255 5565072 6260706 6956340 8347608 9275120 10434510 12521412 13912680 15651765 16695216 20869020 25042824 27825360 31303530 41738040 50085648 62607060 83476080 125214120 250428240