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921993696 = 253213219997
BaseRepresentation
bin110110111101001…
…000000111100000
32101020220010120200
4312331020013200
53342012244241
6231253305200
731563550161
oct6675100740
92336803520
10921993696
11433494568
12218935200
13119027400
148a643768
1555e234b6
hex36f481e0

921993696 has 216 divisors, whose sum is σ = 2991544920. Its totient is φ = 268489728.

The previous prime is 921993643. The next prime is 921993701. The reversal of 921993696 is 696399129.

921993696 is a `hidden beast` number, since 92 + 199 + 369 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 924270 + ... + 925266.

It is an arithmetic number, because the mean of its divisors is an integer number (13849745).

Almost surely, 2921993696 is an apocalyptic number.

921993696 is a gapful number since it is divisible by the number (96) 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 921993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495772460).

921993696 is an abundant number, since it is smaller than the sum of its proper divisors (2069551224).

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

921993696 is a wasteful number, since it uses less digits than its factorization.

921993696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1034 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 921993696 is about 30364.3490956088. The cubic root of 921993696 is about 973.2908723997.

The spelling of 921993696 in words is "nine hundred twenty-one million, nine hundred ninety-three thousand, six hundred ninety-six".