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8197952 = 26729631
BaseRepresentation
bin11111010001011101000000
3120102111110212
4133101131000
54044313302
6451413252
7126452510
oct37213500
916374425
108197952
11469a274
1228b4228
131910579
141135840
15abe052
hex7d1740

8197952 has 56 divisors (see below), whose sum is σ = 19263360. Its totient is φ = 3386880.

The previous prime is 8197933. The next prime is 8197967. The reversal of 8197952 is 2597918.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12677 + ... + 13307.

Almost surely, 28197952 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 8197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631680).

8197952 is an abundant number, since it is smaller than the sum of its proper divisors (11065408).

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

8197952 is a wasteful number, since it uses less digits than its factorization.

8197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its digits is 45360, while the sum is 41.

The square root of 8197952 is about 2863.2065940131. The cubic root of 8197952 is about 201.6361781046.

The spelling of 8197952 in words is "eight million, one hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 631 812 928 1262 1624 1856 2524 3248 4417 5048 6496 8834 10096 12992 17668 18299 20192 35336 36598 40384 70672 73196 128093 141344 146392 256186 282688 292784 512372 585568 1024744 1171136 2049488 4098976 8197952