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397955142 = 2321317711409
BaseRepresentation
bin10111101110000…
…101000001000110
31000201211012211100
4113232011001012
51303334031032
6103253320530
712601364034
oct2756050106
91021735740
10397955142
111946a9652
12b1336146
13645a6920
143abd1554
1524e0c97c
hex17b85046

397955142 has 96 divisors (see below), whose sum is σ = 997738560. Its totient is φ = 113541120.

The previous prime is 397955141. The next prime is 397955147. The reversal of 397955142 is 241559793.

It is a happy number.

397955142 is a `hidden beast` number, since 3 + 97 + 9 + 551 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397955141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281734 + ... + 283142.

It is an arithmetic number, because the mean of its divisors is an integer number (10393110).

Almost surely, 2397955142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397955142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498869280).

397955142 is an abundant number, since it is smaller than the sum of its proper divisors (599783418).

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

397955142 is a wasteful number, since it uses less digits than its factorization.

397955142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1515 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 397955142 is about 19948.8130473971. The cubic root of 397955142 is about 735.5486005599.

The spelling of 397955142 in words is "three hundred ninety-seven million, nine hundred fifty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 71 78 102 117 142 153 213 221 234 306 426 442 639 663 923 1207 1278 1326 1409 1846 1989 2414 2769 2818 3621 3978 4227 5538 7242 8307 8454 10863 12681 15691 16614 18317 21726 23953 25362 31382 36634 47073 47906 54951 71859 94146 100039 109902 141219 143718 164853 200078 215577 282438 300117 311389 329706 431154 600234 622778 900351 934167 1300507 1700663 1800702 1868334 2601014 2802501 3401326 3901521 5101989 5605002 7803042 10203978 11704563 15305967 22108619 23409126 30611934 44217238 66325857 132651714 198977571 397955142