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398202 = 23719499
BaseRepresentation
bin1100001001101111010
3202020020020
41201031322
5100220302
612311310
73245640
oct1411572
9666206
10398202
112521a2
12172536
1310c32c
14a5190
157cebc
hex6137a

398202 has 32 divisors (see below), whose sum is σ = 960000. Its totient is φ = 107568.

The previous prime is 398171. The next prime is 398207. The reversal of 398202 is 202893.

It is not an unprimeable number, because it can be changed into a prime (398207) by changing a digit.

398202 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (30000).

2398202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480000).

398202 is an abundant number, since it is smaller than the sum of its proper divisors (561798).

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

398202 is a wasteful number, since it uses less digits than its factorization.

398202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 398202 is about 631.0324872778. The cubic root of 398202 is about 73.5700660014.

The spelling of 398202 in words is "three hundred ninety-eight thousand, two hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 499 798 998 1497 2994 3493 6986 9481 10479 18962 20958 28443 56886 66367 132734 199101 398202