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7989352 = 237289229
BaseRepresentation
bin11110011110100001101000
3120000220022221
4132132201220
54021124402
6443123424
7124623400
oct36364150
916026287
107989352
114567578
122813574
131869637
1410bd800
15a7c337
hex79e868

7989352 has 48 divisors (see below), whose sum is σ = 17698500. Its totient is φ = 3370752.

The previous prime is 7989343. The next prime is 7989407. The reversal of 7989352 is 2539897.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 70756 = 2814^2 + 266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7989299 and 7989308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34774 + ... + 35002.

Almost surely, 27989352 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 7989352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849250).

7989352 is an abundant number, since it is smaller than the sum of its proper divisors (9709148).

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

7989352 is a wasteful number, since it uses less digits than its factorization.

7989352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 7989352 is about 2826.5441797361. The cubic root of 7989352 is about 199.9112272695.

The spelling of 7989352 in words is "seven million, nine hundred eighty-nine thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 229 356 392 458 623 712 916 1246 1603 1832 2492 3206 4361 4984 6412 8722 11221 12824 17444 20381 22442 34888 40762 44884 81524 89768 142667 163048 285334 570668 998669 1141336 1997338 3994676 7989352