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400132485 = 32517523049
BaseRepresentation
bin10111110110011…
…000100110000101
31000212220211120200
4113312120212011
51304413214420
6103412121113
712626033004
oct2766304605
91025824520
10400132485
11195956505
12b2006199
1364b899ac
143b1dac3b
15251dcb90
hex17d98985

400132485 has 24 divisors (see below), whose sum is σ = 734362200. Its totient is φ = 200850432.

The previous prime is 400132477. The next prime is 400132487. The reversal of 400132485 is 584231004.

400132485 is a `hidden beast` number, since 400 + 13 + 248 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104223681 + 295908804 = 10209^2 + 17202^2 .

It is not a de Polignac number, because 400132485 - 23 = 400132477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400132487) 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, 260760 + ... + 262289.

It is an arithmetic number, because the mean of its divisors is an integer number (30598425).

Almost surely, 2400132485 is an apocalyptic number.

400132485 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400132485 is a deficient number, since it is larger than the sum of its proper divisors (334229715).

400132485 is a wasteful number, since it uses less digits than its factorization.

400132485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523077 (or 523074 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 400132485 is about 20003.3118507911. The cubic root of 400132485 is about 736.8876372343.

Adding to 400132485 its reverse (584231004), we get a palindrome (984363489).

The spelling of 400132485 in words is "four hundred million, one hundred thirty-two thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 523049 1569147 2615245 4707441 7845735 8891833 23537205 26675499 44459165 80026497 133377495 400132485