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404053240 = 23519599011
BaseRepresentation
bin11000000101010…
…101110011111000
31001011022000211211
4120011111303320
51311414200430
6104032132504
713004252533
oct3005256370
91034260754
10404053240
111980941a8
12b3397134
1365930476
143b93ba1a
152571472a
hex18155cf8

404053240 has 64 divisors (see below), whose sum is σ = 973296000. Its totient is φ = 150503040.

The previous prime is 404053207. The next prime is 404053249. The reversal of 404053240 is 42350404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404053249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40335 + ... + 49345.

It is an arithmetic number, because the mean of its divisors is an integer number (15207750).

Almost surely, 2404053240 is an apocalyptic number.

404053240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486648000).

404053240 is an abundant number, since it is smaller than the sum of its proper divisors (569242760).

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

404053240 is a wasteful number, since it uses less digits than its factorization.

404053240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9100 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 404053240 is about 20101.0755931119. The cubic root of 404053240 is about 739.2866512537.

The spelling of 404053240 in words is "four hundred four million, fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 59 76 95 118 152 190 236 295 380 472 590 760 1121 1180 2242 2360 4484 5605 8968 9011 11210 18022 22420 36044 44840 45055 72088 90110 171209 180220 342418 360440 531649 684836 856045 1063298 1369672 1712090 2126596 2658245 3424180 4253192 5316490 6848360 10101331 10632980 20202662 21265960 40405324 50506655 80810648 101013310 202026620 404053240