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8063928 = 2333371009
BaseRepresentation
bin11110110000101110111000
3120011200122000
4132300232320
54031021203
6444501000
7125353665
oct36605670
916150560
108063928
114608604
12284a760
131894572
1410dca6c
15a944a3
hex7b0bb8

8063928 has 64 divisors (see below), whose sum is σ = 23028000. Its totient is φ = 2612736.

The previous prime is 8063927. The next prime is 8063947. The reversal of 8063928 is 8293608.

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

It is a junction number, because it is equal to n+sod(n) for n = 8063892 and 8063901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8063927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7488 + ... + 8496.

Almost surely, 28063928 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 8063928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11514000).

8063928 is an abundant number, since it is smaller than the sum of its proper divisors (14964072).

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

8063928 is a wasteful number, since it uses less digits than its factorization.

8063928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8063928 is about 2839.7056185457. The cubic root of 8063928 is about 200.5313205756.

The spelling of 8063928 in words is "eight million, sixty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1009 1332 1998 2018 2664 3027 3996 4036 6054 7992 8072 9081 12108 18162 24216 27243 36324 37333 54486 72648 74666 108972 111999 149332 217944 223998 298664 335997 447996 671994 895992 1007991 1343988 2015982 2687976 4031964 8063928