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397924956 = 2232112137027
BaseRepresentation
bin10111101101111…
…101101001011100
31000201202200102100
4113231331221130
51303332044311
6103252525100
712601210032
oct2755755134
91021680370
10397924956
11194688a00
12b1320790
1364595c70
143abc4552
1524e03a56
hex17b7da5c

397924956 has 108 divisors (see below), whose sum is σ = 1190838376. Its totient is φ = 111291840.

The previous prime is 397924949. The next prime is 397924957. The reversal of 397924956 is 659429793.

397924956 is a `hidden beast` number, since 397 + 9 + 249 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397924957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53115 + ... + 60141.

Almost surely, 2397924956 is an apocalyptic number.

397924956 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 397924956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595419188).

397924956 is an abundant number, since it is smaller than the sum of its proper divisors (792913420).

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

397924956 is a wasteful number, since it uses less digits than its factorization.

397924956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7056 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 397924956 is about 19948.0564466817. The cubic root of 397924956 is about 735.5300022900.

The spelling of 397924956 in words is "three hundred ninety-seven million, nine hundred twenty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1452 1573 1716 2178 2574 3146 4356 4719 5148 6292 7027 9438 14054 14157 18876 21081 28108 28314 42162 56628 63243 77297 84324 91351 126486 154594 182702 231891 252972 274053 309188 365404 463782 548106 695673 822159 850267 927564 1004861 1096212 1391346 1644318 1700534 2009722 2550801 2782692 3014583 3288636 3401068 4019444 5101602 6029166 7652403 9043749 10203204 11053471 12058332 15304806 18087498 22106942 30609612 33160413 36174996 44213884 66320826 99481239 132641652 198962478 397924956