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900881401 = 7715917977
BaseRepresentation
bin110101101100100…
…101101111111001
32022210011111221211
4311230211233321
53321111201101
6225221003121
731216236250
oct6554455771
92283144854
10900881401
11422584592
122118534a1
13114844924
1487909797
1554152c51
hex35b25bf9

900881401 has 8 divisors (see below), whose sum is σ = 1029779840. Its totient is φ = 772033248.

The previous prime is 900881381. The next prime is 900881413. The reversal of 900881401 is 104188009.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 900881401 - 29 = 900880889 is a prime.

It is a super-5 number, since 5×9008814015 (a number of 46 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900881431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41125 + ... + 59101.

It is an arithmetic number, because the mean of its divisors is an integer number (128722480).

Almost surely, 2900881401 is an apocalyptic number.

It is an amenable number.

900881401 is a deficient number, since it is larger than the sum of its proper divisors (128898439).

900881401 is a wasteful number, since it uses less digits than its factorization.

900881401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25143.

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 900881401 is about 30014.6864218169. The cubic root of 900881401 is about 965.8044607764.

It can be divided in two parts, 9008 and 81401, that added together give a palindrome (90409).

The spelling of 900881401 in words is "nine hundred million, eight hundred eighty-one thousand, four hundred one".

Divisors: 1 7 7159 17977 50113 125839 128697343 900881401