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9991956 = 223133379
BaseRepresentation
bin100110000111…
…011100010100
3200210122101110
4212013130110
510024220311
6554055020
7150634032
oct46073424
920718343
109991956
115705117
12341a470
1320bb000
141481552
15d258a6
hex987714

9991956 has 48 divisors (see below), whose sum is σ = 25323200. Its totient is φ = 3066336.

The previous prime is 9991939. The next prime is 9991963. The reversal of 9991956 is 6591999.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26175 + ... + 26553.

Almost surely, 29991956 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 9991956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12661600).

9991956 is an abundant number, since it is smaller than the sum of its proper divisors (15331244).

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

9991956 is a wasteful number, since it uses less digits than its factorization.

9991956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 397 counting only the distinct ones).

The product of its digits is 196830, while the sum is 48.

The square root of 9991956 is about 3161.0055362179. The cubic root of 9991956 is about 215.3856859314.

The spelling of 9991956 in words is "nine million, nine hundred ninety-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 379 507 676 758 1014 1137 1516 2028 2197 2274 4394 4548 4927 6591 8788 9854 13182 14781 19708 26364 29562 59124 64051 128102 192153 256204 384306 768612 832663 1665326 2497989 3330652 4995978 9991956