Search a number
-
+
996088446 = 2321711328807
BaseRepresentation
bin111011010111110…
…001101001111110
32120102022112110200
4323113301221332
54014444312241
6242501344330
733453416643
oct7327615176
92512275420
10996088446
114712a1aa1
122397080a6
1312b49a962
149640ddca
155c6ac4b6
hex3b5f1a7e

996088446 has 48 divisors (see below), whose sum is σ = 2305446624. Its totient is φ = 309722112.

The previous prime is 996088417. The next prime is 996088447. The reversal of 996088446 is 644880699.

It is a junction number, because it is equal to n+sod(n) for n = 996088392 and 996088401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996088447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20175 + ... + 48981.

It is an arithmetic number, because the mean of its divisors is an integer number (48030138).

Almost surely, 2996088446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996088446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152723312).

996088446 is an abundant number, since it is smaller than the sum of its proper divisors (1309358178).

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

996088446 is a wasteful number, since it uses less digits than its factorization.

996088446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28945 (or 28942 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 996088446 is about 31560.8689043885. The cubic root of 996088446 is about 998.6944449344.

The spelling of 996088446 in words is "nine hundred ninety-six million, eighty-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 113 153 226 306 339 678 1017 1921 2034 3842 5763 11526 17289 28807 34578 57614 86421 172842 259263 489719 518526 979438 1469157 2938314 3255191 4407471 6510382 8814942 9765573 19531146 29296719 55338247 58593438 110676494 166014741 332029482 498044223 996088446