Search a number
-
+
402469840 = 2451132112
BaseRepresentation
bin10111111111010…
…011001111010000
31001001022120211101
4113333103033100
51311013013330
6103534154144
712654636313
oct2777231720
91031276741
10402469840
11197202603
12b2952954
13654c7846
143b64897a
15255004ca
hex17fd33d0

402469840 has 60 divisors (see below), whose sum is σ = 948518532. Its totient is φ = 158807040.

The previous prime is 402469829. The next prime is 402469841. The reversal of 402469840 is 48964204.

It can be written as a sum of positive squares in 2 ways, for example, as 57699216 + 344770624 = 7596^2 + 18568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 402469840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402469841) 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, 1907335 + ... + 1907545.

Almost surely, 2402469840 is an apocalyptic number.

402469840 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 402469840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474259266).

402469840 is an abundant number, since it is smaller than the sum of its proper divisors (546048692).

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

402469840 is a wasteful number, since it uses less digits than its factorization.

402469840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 402469840 is about 20061.6509789200. The cubic root of 402469840 is about 738.3196838678.

It can be divided in two parts, 40246 and 9840, that added together give a triangular number (50086 = T316).

The spelling of 402469840 in words is "four hundred two million, four hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 211 226 422 452 565 844 904 1055 1130 1688 1808 2110 2260 3376 4220 4520 8440 9040 16880 23843 44521 47686 89042 95372 119215 178084 190744 222605 238430 356168 381488 445210 476860 712336 890420 953720 1780840 1907440 3561680 5030873 10061746 20123492 25154365 40246984 50308730 80493968 100617460 201234920 402469840