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8051364 = 22321979149
BaseRepresentation
bin11110101101101010100100
3120011001101200
4132231222210
54030120424
6444322500
7125302236
oct36555244
916131350
108051364
1145aa122
122843430
13188b929
1410d8256
15a908c9
hex7adaa4

8051364 has 72 divisors (see below), whose sum is σ = 21840000. Its totient is φ = 2493504.

The previous prime is 8051339. The next prime is 8051369. The reversal of 8051364 is 4631508.

It is not an unprimeable number, because it can be changed into a prime (8051369) 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 23 ways as a sum of consecutive naturals, for example, 53962 + ... + 54110.

Almost surely, 28051364 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 8051364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10920000).

8051364 is an abundant number, since it is smaller than the sum of its proper divisors (13788636).

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

8051364 is a wasteful number, since it uses less digits than its factorization.

8051364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8051364 is about 2837.4925550563. The cubic root of 8051364 is about 200.4271205243.

Adding to 8051364 its product of nonzero digits (2880), we get a square (8054244 = 28382).

The spelling of 8051364 in words is "eight million, fifty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 79 114 149 158 171 228 237 298 316 342 447 474 596 684 711 894 948 1341 1422 1501 1788 2682 2831 2844 3002 4503 5364 5662 6004 8493 9006 11324 11771 13509 16986 18012 23542 25479 27018 33972 35313 47084 50958 54036 70626 101916 105939 141252 211878 223649 423756 447298 670947 894596 1341894 2012841 2683788 4025682 8051364