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401145052 = 227112997463
BaseRepresentation
bin10111111010001…
…111110011011100
31000221211021120011
4113322033303130
51310143120202
6103445533004
712640451050
oct2772176334
91027737504
10401145052
11196488240
12b2414164
1365152849
143b3c1c60
152533cbd7
hex17e8fcdc

401145052 has 96 divisors (see below), whose sum is σ = 916715520. Its totient is φ = 149022720.

The previous prime is 401145049. The next prime is 401145067. The reversal of 401145052 is 250541104.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866173 + ... + 866635.

It is an arithmetic number, because the mean of its divisors is an integer number (9549120).

Almost surely, 2401145052 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 401145052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458357760).

401145052 is an abundant number, since it is smaller than the sum of its proper divisors (515570468).

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

401145052 is a wasteful number, since it uses less digits than its factorization.

401145052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 401145052 is about 20028.6058426442. The cubic root of 401145052 is about 737.5086978578.

Adding to 401145052 its reverse (250541104), we get a palindrome (651686156).

The spelling of 401145052 in words is "four hundred one million, one hundred forty-five thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 97 116 154 194 203 308 319 388 406 463 638 679 812 926 1067 1276 1358 1852 2134 2233 2716 2813 3241 4268 4466 5093 5626 6482 7469 8932 10186 11252 12964 13427 14938 19691 20372 26854 29876 30943 35651 39382 44911 53708 61886 71302 78764 89822 93989 123772 142604 147697 179644 187978 216601 295394 314377 375956 433202 494021 590788 628754 866404 988042 1033879 1257508 1302419 1976084 2067758 2604838 3458147 4135516 5209676 6916294 9116933 13832588 14326609 18233866 28653218 36467732 57306436 100286263 200572526 401145052