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7994952 = 2332729547
BaseRepresentation
bin11110011111111001001000
3120001012000100
4132133321020
54021314302
6443205400
7124645620
oct36377110
916035010
107994952
1145707a9
122816860
13186c054
1410c1880
15a7dd1c
hex79fe48

7994952 has 96 divisors (see below), whose sum is σ = 25646400. Its totient is φ = 2201472.

The previous prime is 7994941. The next prime is 7994969. The reversal of 7994952 is 2594997.

7994952 = T728 + T729 + ... + T756.

7994952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 7994898 and 7994907.

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, 14343 + ... + 14889.

It is an arithmetic number, because the mean of its divisors is an integer number (267150).

Almost surely, 27994952 is an apocalyptic number.

7994952 is a gapful number since it is divisible by the number (72) 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 7994952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12823200).

7994952 is an abundant number, since it is smaller than the sum of its proper divisors (17651448).

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

7994952 is a wasteful number, since it uses less digits than its factorization.

7994952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 588 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 7994952 is about 2827.5346151727. The cubic root of 7994952 is about 199.9579244822.

Adding to 7994952 its sum of digits (45), we get a palindrome (7994997).

The spelling of 7994952 in words is "seven million, nine hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 547 609 696 812 1044 1094 1218 1624 1641 1827 2088 2188 2436 3282 3654 3829 4376 4872 4923 6564 7308 7658 9846 11487 13128 14616 15316 15863 19692 22974 30632 31726 34461 39384 45948 47589 63452 68922 91896 95178 111041 126904 137844 142767 190356 222082 275688 285534 333123 380712 444164 571068 666246 888328 999369 1142136 1332492 1998738 2664984 3997476 7994952