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398249056 = 2537595701
BaseRepresentation
bin10111101111001…
…100110001100000
31000202101011000001
4113233030301200
51303422432211
6103303505344
712604026652
oct2757146140
91022334001
10398249056
1119488a457
12b1458254
136467a63a
143ac6a6d2
1524e69ac1
hex17bccc60

398249056 has 48 divisors (see below), whose sum is σ = 819035280. Its totient is φ = 190425600.

The previous prime is 398249041. The next prime is 398249057. The reversal of 398249056 is 650942893.

It is a super-2 number, since 2×3982490562 = 317204621209782272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 398248997 and 398249015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398249057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67006 + ... + 72706.

It is an arithmetic number, because the mean of its divisors is an integer number (17063235).

Almost surely, 2398249056 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 398249056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409517640).

398249056 is an abundant number, since it is smaller than the sum of its proper divisors (420786224).

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

398249056 is a wasteful number, since it uses less digits than its factorization.

398249056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 398249056 is about 19956.1783916661. The cubic root of 398249056 is about 735.7296384104.

The spelling of 398249056 in words is "three hundred ninety-eight million, two hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 59 74 118 148 236 296 472 592 944 1184 1888 2183 4366 5701 8732 11402 17464 22804 34928 45608 69856 91216 182432 210937 336359 421874 672718 843748 1345436 1687496 2690872 3374992 5381744 6749984 10763488 12445283 24890566 49781132 99562264 199124528 398249056