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8066952 = 233459211
BaseRepresentation
bin11110110001011110001000
3120011211210000
4132301132020
54031120302
6444523000
7125365545
oct36613610
916154700
108066952
11460a903
122850460
131895a5a
1410ddbcc
15a9531c
hex7b1788

8066952 has 80 divisors (see below), whose sum is σ = 23086800. Its totient is φ = 2630880.

The previous prime is 8066923. The next prime is 8066969. The reversal of 8066952 is 2596608.

8066952 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38127 + ... + 38337.

It is an arithmetic number, because the mean of its divisors is an integer number (288585).

Almost surely, 28066952 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 8066952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11543400).

8066952 is an abundant number, since it is smaller than the sum of its proper divisors (15019848).

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

8066952 is a wasteful number, since it uses less digits than its factorization.

8066952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8066952 is about 2840.2380181950. The cubic root of 8066952 is about 200.5563840818.

The spelling of 8066952 in words is "eight million, sixty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 211 216 236 324 354 422 472 531 633 648 708 844 1062 1266 1416 1593 1688 1899 2124 2532 3186 3798 4248 4779 5064 5697 6372 7596 9558 11394 12449 12744 15192 17091 19116 22788 24898 34182 37347 38232 45576 49796 68364 74694 99592 112041 136728 149388 224082 298776 336123 448164 672246 896328 1008369 1344492 2016738 2688984 4033476 8066952