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401980425 = 352711471481
BaseRepresentation
bin10111111101011…
…011110000001001
31001000101201110220
4113331123300021
51310401333200
6103515500253
712650530410
oct2775336011
91030351426
10401980425
111969a8930
12b2757689
1365385b52
143b55c477
15254554a0
hex17f5bc09

401980425 has 96 divisors (see below), whose sum is σ = 846802944. Its totient is φ = 163392000.

The previous prime is 401980421. The next prime is 401980427. The reversal of 401980425 is 524089104.

It is not a de Polignac number, because 401980425 - 22 = 401980421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (401980421) 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 95 ways as a sum of consecutive naturals, for example, 270685 + ... + 272165.

It is an arithmetic number, because the mean of its divisors is an integer number (8820864).

Almost surely, 2401980425 is an apocalyptic number.

It is an amenable number.

401980425 is an abundant number, since it is smaller than the sum of its proper divisors (444822519).

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

401980425 is a wasteful number, since it uses less digits than its factorization.

401980425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 401980425 is about 20049.4494936893. The cubic root of 401980425 is about 738.0202897602.

The spelling of 401980425 in words is "four hundred one million, nine hundred eighty thousand, four hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 47 55 75 77 105 141 165 175 231 235 275 329 385 517 525 705 825 987 1155 1175 1481 1551 1645 1925 2585 3525 3619 4443 4935 5775 7405 7755 8225 10367 10857 12925 16291 18095 22215 24675 31101 37025 38775 48873 51835 54285 69607 81455 90475 111075 114037 155505 208821 244365 259175 271425 342111 348035 407275 487249 570185 765677 777525 1044105 1221825 1461747 1710555 1740175 2297031 2436245 2850925 3828385 5220525 5359739 7308735 8552775 11485155 12181225 16079217 19141925 26798695 36543675 57425775 80396085 133993475 401980425