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402496 = 2619331
BaseRepresentation
bin1100010010001000000
3202110010021
41202101000
5100334441
612343224
73264313
oct1422100
9673107
10402496
11255446
12174b14
13111283
14a697a
157e3d1
hex62440

402496 has 28 divisors (see below), whose sum is σ = 843280. Its totient is φ = 190080.

The previous prime is 402487. The next prime is 402503. The reversal of 402496 is 694204.

It is a self number, because there is not a number n which added to its sum of digits gives 402496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1051 + ... + 1381.

2402496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421640).

402496 is an abundant number, since it is smaller than the sum of its proper divisors (440784).

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

402496 is a wasteful number, since it uses less digits than its factorization.

402496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 402496 is about 634.4257245730. The cubic root of 402496 is about 73.8335680118.

It can be divided in two parts, 402 and 496, that added together give a palindrome (898).

The spelling of 402496 in words is "four hundred two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 331 608 662 1216 1324 2648 5296 6289 10592 12578 21184 25156 50312 100624 201248 402496