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398997504 = 2113221647
BaseRepresentation
bin10111110010000…
…011100000000000
31000210210011200100
4113302003200000
51304120410004
6103331522400
712613265013
oct2762034000
91023704610
10398997504
11195250804
12b1759400
13648801c9
143adc337a
1525066739
hex17c83800

398997504 has 72 divisors (see below), whose sum is σ = 1152431280. Its totient is φ = 132993024.

The previous prime is 398997503. The next prime is 398997539. The reversal of 398997504 is 405799893.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398997503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7609 + ... + 29255.

It is an arithmetic number, because the mean of its divisors is an integer number (16005990).

Almost surely, 2398997504 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 398997504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576215640).

398997504 is an abundant number, since it is smaller than the sum of its proper divisors (753433776).

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

398997504 is a wasteful number, since it uses less digits than its factorization.

398997504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21675 (or 21652 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 398997504 is about 19974.9218771939. The cubic root of 398997504 is about 736.1902469755.

The spelling of 398997504 in words is "three hundred ninety-eight million, nine hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 21647 43294 64941 86588 129882 173176 194823 259764 346352 389646 519528 692704 779292 1039056 1385408 1558584 2078112 2770816 3117168 4156224 5541632 6234336 8312448 11083264 12468672 16624896 22166528 24937344 33249792 44333056 49874688 66499584 99749376 132999168 199498752 398997504