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400925 = 5272979
BaseRepresentation
bin1100001111000011101
3202100222002
41201320131
5100312200
612332045
73256610
oct1417035
9670862
10400925
11254248
12174025
13110645
14a6177
157dbd5
hex61e1d

400925 has 24 divisors (see below), whose sum is σ = 595200. Its totient is φ = 262080.

The previous prime is 400903. The next prime is 400927. The reversal of 400925 is 529004.

It is a de Polignac number, because none of the positive numbers 2k-400925 is a prime.

It is a super-3 number, since 3×4009253 = 193335082624359375, which contains 333 as substring.

400925 is a modest number, since divided by 925 gives 400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 400897 and 400906.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400925.

It is not an unprimeable number, because it can be changed into a prime (400927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5036 + ... + 5114.

It is an arithmetic number, because the mean of its divisors is an integer number (24800).

2400925 is an apocalyptic number.

It is an amenable number.

400925 is a deficient number, since it is larger than the sum of its proper divisors (194275).

400925 is a wasteful number, since it uses less digits than its factorization.

400925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 400925 is about 633.1863864614. The cubic root of 400925 is about 73.7373817347.

Adding to 400925 its reverse (529004), we get a palindrome (929929).

The spelling of 400925 in words is "four hundred thousand, nine hundred twenty-five".

Divisors: 1 5 7 25 29 35 79 145 175 203 395 553 725 1015 1975 2291 2765 5075 11455 13825 16037 57275 80185 400925