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398159412 = 2237311071429
BaseRepresentation
bin10111101110110…
…110111000110100
31000202012121000220
4113232312320310
51303412100122
6103301534340
712603204420
oct2756667064
91022177026
10398159412
11194829072
12b14143b0
13646488b1
143ac45b80
1524e4d25c
hex17bb6e34

398159412 has 96 divisors (see below), whose sum is σ = 1107025920. Its totient is φ = 108984960.

The previous prime is 398159407. The next prime is 398159423. The reversal of 398159412 is 214951893.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277914 + ... + 279342.

It is an arithmetic number, because the mean of its divisors is an integer number (11531520).

Almost surely, 2398159412 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 398159412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553512960).

398159412 is an abundant number, since it is smaller than the sum of its proper divisors (708866508).

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

398159412 is a wasteful number, since it uses less digits than its factorization.

398159412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1579 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 398159412 is about 19953.9322440465. The cubic root of 398159412 is about 735.6744311677.

The spelling of 398159412 in words is "three hundred ninety-eight million, one hundred fifty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 107 124 186 214 217 321 372 428 434 642 651 749 868 1284 1302 1429 1498 2247 2604 2858 2996 3317 4287 4494 5716 6634 8574 8988 9951 10003 13268 17148 19902 20006 23219 30009 39804 40012 44299 46438 60018 69657 88598 92876 120036 132897 139314 152903 177196 265794 278628 305806 310093 458709 531588 611612 620186 917418 930279 1070321 1240372 1834836 1860558 2140642 3210963 3721116 4281284 4739993 6421926 9479986 12843852 14219979 18959972 28439958 33179951 56879916 66359902 99539853 132719804 199079706 398159412