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402896 = 24132149
BaseRepresentation
bin1100010010111010000
3202110200002
41202113100
5100343041
612345132
73265424
oct1422720
9673602
10402896
1125577a
121751a8
13111500
14a6b84
157e59b
hex625d0

402896 has 30 divisors (see below), whose sum is σ = 850950. Its totient is φ = 184704.

The previous prime is 402881. The next prime is 402923. The reversal of 402896 is 698204.

It can be written as a sum of positive squares in 3 ways, for example, as 18496 + 384400 = 136^2 + 620^2 .

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402896.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2630 + ... + 2778.

It is an arithmetic number, because the mean of its divisors is an integer number (28365).

2402896 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 402896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425475).

402896 is an abundant number, since it is smaller than the sum of its proper divisors (448054).

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

402896 is a wasteful number, since it uses less digits than its factorization.

402896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 402896 is about 634.7408920182. The cubic root of 402896 is about 73.8580184818.

The spelling of 402896 in words is "four hundred two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 149 169 208 298 338 596 676 1192 1352 1937 2384 2704 3874 7748 15496 25181 30992 50362 100724 201448 402896