Search a number
-
+
400808484 = 223238928621
BaseRepresentation
bin10111111000111…
…101101000100100
31000221012011212200
4113320331220210
51310101332414
6103434414500
712634546566
oct2770755044
91027164780
10400808484
1119627838a
12b2291430
13650655ab
143b335336
15252c3109
hex17e3da24

400808484 has 36 divisors (see below), whose sum is σ = 1015794780. Its totient is φ = 133254720.

The previous prime is 400808483. The next prime is 400808489. The reversal of 400808484 is 484808004.

It can be written as a sum of positive squares in 2 ways, for example, as 34928100 + 365880384 = 5910^2 + 19128^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (400808483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307 + ... + 28314.

Almost surely, 2400808484 is an apocalyptic number.

It is an amenable number.

400808484 is an abundant number, since it is smaller than the sum of its proper divisors (614986296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400808484 is a wasteful number, since it uses less digits than its factorization.

400808484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29020 (or 29015 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 400808484 is about 20020.2018970839. The cubic root of 400808484 is about 737.3023790716.

The spelling of 400808484 in words is "four hundred million, eight hundred eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 389 778 1167 1556 2334 3501 4668 7002 14004 28621 57242 85863 114484 171726 257589 343452 515178 1030356 11133569 22267138 33400707 44534276 66801414 100202121 133602828 200404242 400808484