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996756444 = 2232176912357
BaseRepresentation
bin111011011010010…
…100101111011100
32120110120110210100
4323122110233130
54020132201234
6242523541100
733462201315
oct7332245734
92513513710
10996756444
11471708962
1223998a790
1312b672a18
149654560c
155c790399
hex3b694bdc

996756444 has 72 divisors (see below), whose sum is σ = 2672783568. Its totient is φ = 312122880.

The previous prime is 996756421. The next prime is 996756457. The reversal of 996756444 is 444657699.

It is a happy number.

996756444 is a `hidden beast` number, since 99 + 67 + 56 + 444 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421714 + ... + 424070.

It is an arithmetic number, because the mean of its divisors is an integer number (37121994).

Almost surely, 2996756444 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 996756444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336391784).

996756444 is an abundant number, since it is smaller than the sum of its proper divisors (1676027124).

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

996756444 is a wasteful number, since it uses less digits than its factorization.

996756444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3070 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 996756444 is about 31571.4498241687. The cubic root of 996756444 is about 998.9176435939.

The spelling of 996756444 in words is "nine hundred ninety-six million, seven hundred fifty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 691 1382 2073 2357 2764 4146 4714 6219 7071 8292 9428 11747 12438 14142 21213 23494 24876 28284 35241 40069 42426 46988 70482 80138 84852 105723 120207 140964 160276 211446 240414 360621 422892 480828 721242 1442484 1628687 3257374 4886061 6514748 9772122 14658183 19544244 27687679 29316366 55375358 58632732 83063037 110750716 166126074 249189111 332252148 498378222 996756444