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401325435 = 37573107
BaseRepresentation
bin10111111010111…
…011110101111011
31000222011110000000
4113322323311323
51310214403220
6103453444043
712642132000
oct2772736573
91028143000
10401325435
111965a0815
12b24a0623
13651b6994
143b42b8a7
1525376390
hex17ebbd7b

401325435 has 128 divisors (see below), whose sum is σ = 850176000. Its totient is φ = 181748448.

The previous prime is 401325359. The next prime is 401325437. The reversal of 401325435 is 534523104.

401325435 is a `hidden beast` number, since 401 + 3 + 254 + 3 + 5 = 666.

It is not a de Polignac number, because 401325435 - 213 = 401317243 is a prime.

It is a super-2 number, since 2×4013254352 = 322124209555878450, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 401325399 and 401325408.

It is not an unprimeable number, because it can be changed into a prime (401325437) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3750652 + ... + 3750758.

It is an arithmetic number, because the mean of its divisors is an integer number (6642000).

Almost surely, 2401325435 is an apocalyptic number.

401325435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

401325435 is an abundant number, since it is smaller than the sum of its proper divisors (448850565).

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

401325435 is an frugal number, since it uses more digits than its factorization.

401325435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 401325435 is about 20033.1084707291. The cubic root of 401325435 is about 737.6192265350.

Adding to 401325435 its reverse (534523104), we get a palindrome (935848539).

The spelling of 401325435 in words is "four hundred one million, three hundred twenty-five thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 107 135 147 189 243 245 315 321 343 405 441 535 567 729 735 749 945 963 1029 1215 1323 1605 1701 1715 2187 2205 2247 2835 2889 3087 3645 3745 3969 4815 5103 5145 5243 6615 6741 8505 8667 9261 10935 11235 11907 14445 15309 15435 15729 19845 20223 25515 26001 26215 27783 33705 35721 36701 43335 46305 47187 59535 60669 76545 78003 78645 83349 101115 107163 110103 130005 138915 141561 178605 182007 183505 234009 235935 250047 303345 330309 390015 416745 424683 535815 546021 550515 707805 750141 910035 990927 1170045 1250235 1274049 1638063 1651545 2123415 2730105 2972781 3750705 3822147 4954635 6370245 8190315 8918343 11466441 14863905 19110735 26755029 44591715 57332205 80265087 133775145 401325435