Search a number
-
+
398852096 = 21717179
BaseRepresentation
bin10111110001100…
…000000000000000
31000210111210012212
4113301200000000
51304101231341
6103324441252
712612121046
oct2761400000
91023453185
10398852096
11195161535
12b16a9228
136482bc76
143ad86396
15250385eb
hex17c60000

398852096 has 72 divisors (see below), whose sum is σ = 849343320. Its totient is φ = 186646528.

The previous prime is 398852089. The next prime is 398852137. The reversal of 398852096 is 690258893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2228135 + ... + 2228313.

It is an arithmetic number, because the mean of its divisors is an integer number (11796435).

Almost surely, 2398852096 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 398852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424671660).

398852096 is an abundant number, since it is smaller than the sum of its proper divisors (450491224).

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

398852096 is an frugal number, since it uses more digits than its factorization.

398852096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 398852096 is about 19971.2817815983. The cubic root of 398852096 is about 736.1008053483.

The spelling of 398852096 in words is "three hundred ninety-eight million, eight hundred fifty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 179 256 272 358 512 544 716 1024 1088 1432 2048 2176 2864 3043 4096 4352 5728 6086 8192 8704 11456 12172 16384 17408 22912 24344 32768 34816 45824 48688 65536 69632 91648 97376 131072 139264 183296 194752 278528 366592 389504 557056 733184 779008 1114112 1466368 1558016 2228224 2932736 3116032 5865472 6232064 11730944 12464128 23461888 24928256 49856512 99713024 199426048 398852096