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4201409250 = 2365323053
BaseRepresentation
bin1111101001101100…
…0110101011100010
3101211210200201000000
43322123012223202
532101030044000
61532522440430
7206054250363
oct37233065342
911753621000
104201409250
111866649a55
12993063116
1351c58029c
142bbdc1b6a
15198cac000
hexfa6c6ae2

4201409250 has 112 divisors (see below), whose sum is σ = 11792674296. Its totient is φ = 1120327200.

The previous prime is 4201409203. The next prime is 4201409263. The reversal of 4201409250 is 529041024.

4201409250 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 409 + 250 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1794623769 + 2406785481 = 42363^2 + 49059^2 .

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 55 ways as a sum of consecutive naturals, for example, 170724 + ... + 193776.

Almost surely, 24201409250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201409250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896337148).

4201409250 is an abundant number, since it is smaller than the sum of its proper divisors (7591265046).

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

4201409250 is an equidigital number, since it uses as much as digits as its factorization.

4201409250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23088 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4201409250 is about 64818.2786719919. The cubic root of 4201409250 is about 1613.6090801564.

The spelling of 4201409250 in words is "four billion, two hundred one million, four hundred nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 243 250 270 375 405 450 486 675 729 750 810 1125 1215 1350 1458 2025 2250 2430 3375 3645 4050 6075 6750 7290 10125 12150 18225 20250 23053 30375 36450 46106 60750 69159 91125 115265 138318 182250 207477 230530 345795 414954 576325 622431 691590 1037385 1152650 1244862 1728975 1867293 2074770 2881625 3112155 3457950 3734586 5186925 5601879 5763250 6224310 8644875 9336465 10373850 11203758 15560775 16805637 17289750 18672930 25934625 28009395 31121550 33611274 46682325 51869250 56018790 77803875 84028185 93364650 140046975 155607750 168056370 233411625 280093950 420140925 466823250 700234875 840281850 1400469750 2100704625 4201409250