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401255244 = 223213978839
BaseRepresentation
bin10111111010101…
…010101101001100
31000222000212201100
4113322222231030
51310210131434
6103452143100
712641420235
oct2772525514
91028025640
10401255244
11196553005
12b2467a90
1365190a50
143b41008c
1525360699
hex17eaab4c

401255244 has 72 divisors (see below), whose sum is σ = 1103691680. Its totient is φ = 122176512.

The previous prime is 401255237. The next prime is 401255249. The reversal of 401255244 is 442552104.

401255244 is a `hidden beast` number, since 401 + 255 + 2 + 4 + 4 = 666.

It is a super-2 number, since 2×4012552442 = 322011541674999072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401255249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40977 + ... + 49815.

Almost surely, 2401255244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401255244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551845840).

401255244 is an abundant number, since it is smaller than the sum of its proper divisors (702436436).

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

401255244 is a wasteful number, since it uses less digits than its factorization.

401255244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8959 (or 8954 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 401255244 is about 20031.3565192176. The cubic root of 401255244 is about 737.5762213283.

It can be divided in two parts, 40125 and 5244, that added together give a square (45369 = 2132).

The spelling of 401255244 in words is "four hundred one million, two hundred fifty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 97 117 156 194 234 291 388 468 582 873 1164 1261 1746 2522 3492 3783 5044 7566 8839 11349 15132 17678 22698 26517 35356 45396 53034 79551 106068 114907 159102 229814 318204 344721 459628 689442 857383 1034163 1378884 1714766 2068326 2572149 3429532 4136652 5144298 7716447 10288596 11145979 15432894 22291958 30865788 33437937 44583916 66875874 100313811 133751748 200627622 401255244