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396090968 = 237133117551
BaseRepresentation
bin10111100110111…
…101111001011000
31000121022111122212
4113212331321120
51302344402333
6103145334252
712546501110
oct2746757130
91017274585
10396090968
11193646009
12b0797388
13640a3270
143a868040
1524b90448
hex179bde58

396090968 has 64 divisors (see below), whose sum is σ = 943595520. Its totient is φ = 151632000.

The previous prime is 396090953. The next prime is 396090977. The reversal of 396090968 is 869090693.

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, 13793 + ... + 31343.

It is an arithmetic number, because the mean of its divisors is an integer number (14743680).

Almost surely, 2396090968 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 396090968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471797760).

396090968 is an abundant number, since it is smaller than the sum of its proper divisors (547504552).

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

396090968 is a wasteful number, since it uses less digits than its factorization.

396090968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17608 (or 17604 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 50.

The square root of 396090968 is about 19902.0342678833. The cubic root of 396090968 is about 734.3982722258.

The spelling of 396090968 in words is "three hundred ninety-six million, ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1612 1736 2821 3224 5642 11284 17551 22568 35102 70204 122857 140408 228163 245714 456326 491428 544081 912652 982856 1088162 1597141 1825304 2176324 3194282 3808567 4352648 6388564 7073053 7617134 12777128 14146106 15234268 28292212 30468536 49511371 56584424 99022742 198045484 396090968