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404927685 = 32541253101
BaseRepresentation
bin11000001000101…
…011010011000101
31001012221110100200
4120020223103011
51312130141220
6104103001113
713014554121
oct3010532305
91035843320
10404927685
11198631188
12b3739199
1365b784a6
143bac8581
1525838890
hex1822b4c5

404927685 has 72 divisors (see below), whose sum is σ = 740242152. Its totient is φ = 204672000.

The previous prime is 404927683. The next prime is 404927717. The reversal of 404927685 is 586729404.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 136819809 + 268107876 = 11697^2 + 16374^2 .

It is not a de Polignac number, because 404927685 - 21 = 404927683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 404927685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404927683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4009135 + ... + 4009235.

It is an arithmetic number, because the mean of its divisors is an integer number (10281141).

Almost surely, 2404927685 is an apocalyptic number.

404927685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404927685 is a deficient number, since it is larger than the sum of its proper divisors (335314467).

404927685 is a wasteful number, since it uses less digits than its factorization.

404927685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 404927685 is about 20122.8150366692. The cubic root of 404927685 is about 739.8195840912.

The spelling of 404927685 in words is "four hundred four million, nine hundred twenty-seven thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 41 45 53 101 123 159 205 265 303 369 477 505 615 795 909 1515 1681 1845 2173 2385 4141 4545 5043 5353 6519 8405 10865 12423 15129 16059 19557 20705 25215 26765 32595 37269 48177 62115 75645 80295 89093 97785 169781 186345 219473 240885 267279 445465 509343 658419 801837 848905 1097365 1336395 1528029 1975257 2546715 3292095 4009185 7640145 8998393 9876285 26995179 44991965 80985537 134975895 404927685