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425101401 = 32296132657
BaseRepresentation
bin11001010101101…
…000100001011001
31002121220101111100
4121111220201121
51332311221101
6110103222013
713351205454
oct3125504131
91077811440
10425101401
111a8a5aa7a
12ba447909
136a0bc9ba
144065a49b
15274c0e86
hex19568859

425101401 has 24 divisors (see below), whose sum is σ = 636484680. Its totient is φ = 273079296.

The previous prime is 425101379. The next prime is 425101403. The reversal of 425101401 is 104101524.

425101401 = T5598 + T5599 + ... + T5624.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 419225625 = 2424^2 + 20475^2 .

It is not a de Polignac number, because 425101401 - 219 = 424577113 is a prime.

It is a super-3 number, since 3×4251014013 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (425101403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158665 + ... + 161321.

It is an arithmetic number, because the mean of its divisors is an integer number (26520195).

Almost surely, 2425101401 is an apocalyptic number.

It is an amenable number.

425101401 is a deficient number, since it is larger than the sum of its proper divisors (211383279).

425101401 is a wasteful number, since it uses less digits than its factorization.

425101401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 425101401 is about 20617.9873169037. The cubic root of 425101401 is about 751.9070879107.

Adding to 425101401 its reverse (104101524), we get a palindrome (529202925).

The spelling of 425101401 in words is "four hundred twenty-five million, one hundred one thousand, four hundred one".

Divisors: 1 3 9 29 87 261 613 1839 2657 5517 7971 17777 23913 53331 77053 159993 231159 693477 1628741 4886223 14658669 47233489 141700467 425101401