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996851772 = 22347538293
BaseRepresentation
bin111011011010101…
…100000000111100
32120110202022120000
4323122230000330
54020143224042
6242525554300
733463046250
oct7332540074
92513668500
10996851772
11471773544
12239a15990
1312b6a7227
149656c260
155c7ad74c
hex3b6ac03c

996851772 has 120 divisors (see below), whose sum is σ = 3034807776. Its totient is φ = 279407232.

The previous prime is 996851759. The next prime is 996851773. The reversal of 996851772 is 277158699.

996851772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996851773) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116058 + ... + 124350.

Almost surely, 2996851772 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 996851772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517403888).

996851772 is an abundant number, since it is smaller than the sum of its proper divisors (2037956004).

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

996851772 is a wasteful number, since it uses less digits than its factorization.

996851772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8358 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 996851772 is about 31572.9595065144. The cubic root of 996851772 is about 998.9494874765.

The spelling of 996851772 in words is "nine hundred ninety-six million, eight hundred fifty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 252 318 324 371 378 477 567 636 742 756 954 1113 1134 1431 1484 1908 2226 2268 2862 3339 4293 4452 5724 6678 8293 8586 10017 13356 16586 17172 20034 24879 30051 33172 40068 49758 58051 60102 74637 99516 116102 120204 149274 174153 223911 232204 298548 348306 439529 447822 522459 671733 696612 879058 895644 1044918 1318587 1343466 1567377 1758116 2089836 2637174 2686932 3076703 3134754 3955761 4702131 5274348 6153406 6269508 7911522 9230109 9404262 11867283 12306812 15823044 18460218 18808524 23734566 27690327 35601849 36920436 47469132 55380654 71203698 83070981 110761308 142407396 166141962 249212943 332283924 498425886 996851772