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398985696 = 2533538713
BaseRepresentation
bin10111110010000…
…000100111100000
31000210202120111000
4113302000213200
51304120020241
6103331352000
712613215414
oct2762004740
91023676430
10398985696
1119524294a
12b1752600
1364877a15
143adbcd44
1525062eb6
hex17c809e0

398985696 has 96 divisors (see below), whose sum is σ = 1185801120. Its totient is φ = 130470912.

The previous prime is 398985673. The next prime is 398985701. The reversal of 398985696 is 696589893.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3989856962 = 318379171225208832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41436 + ... + 50148.

It is an arithmetic number, because the mean of its divisors is an integer number (12352095).

Almost surely, 2398985696 is an apocalyptic number.

398985696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398985696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592900560).

398985696 is an abundant number, since it is smaller than the sum of its proper divisors (786815424).

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

398985696 is a wasteful number, since it uses less digits than its factorization.

398985696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8785 (or 8771 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The square root of 398985696 is about 19974.6263043893. The cubic root of 398985696 is about 736.1829845908.

The spelling of 398985696 in words is "three hundred ninety-eight million, nine hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 636 848 864 954 1272 1431 1696 1908 2544 2862 3816 5088 5724 7632 8713 11448 15264 17426 22896 26139 34852 45792 52278 69704 78417 104556 139408 156834 209112 235251 278816 313668 418224 461789 470502 627336 836448 923578 941004 1254672 1385367 1847156 1882008 2509344 2770734 3694312 3764016 4156101 5541468 7388624 7528032 8312202 11082936 12468303 14777248 16624404 22165872 24936606 33248808 44331744 49873212 66497616 99746424 132995232 199492848 398985696