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68164488 = 2332721392
BaseRepresentation
bin1000001000000…
…01101110001000
311202021010002200
410010001232020
5114422230423
610433000200
71455250200
oct404015610
9152233080
1068164488
1135527a97
121a9b3060
1311178222
1490a5400
155eb6d43
hex4101b88

68164488 has 108 divisors (see below), whose sum is σ = 216309015. Its totient is φ = 19335456.

The previous prime is 68164469. The next prime is 68164489. The reversal of 68164488 is 88446186.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

68164488 is a `hidden beast` number, since 6 + 8 + 164 + 488 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34082244 + 34082244 = 5838^2 + 5838^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5838.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68164489) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 490323 + ... + 490461.

Almost surely, 268164488 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 68164488

68164488 is an abundant number, since it is smaller than the sum of its proper divisors (148144527).

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

68164488 is a wasteful number, since it uses less digits than its factorization.

68164488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 151 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 68164488 is about 8256.1787771341. The cubic root of 68164488 is about 408.4943546354.

Multiplying 68164488 by its product of digits (294912), we get a square (20102525485056 = 44835842).

The spelling of 68164488 in words is "sixty-eight million, one hundred sixty-four thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 139 147 168 196 252 278 294 392 417 441 504 556 588 834 882 973 1112 1176 1251 1668 1764 1946 2502 2919 3336 3528 3892 5004 5838 6811 7784 8757 10008 11676 13622 17514 19321 20433 23352 27244 35028 38642 40866 54488 57963 61299 70056 77284 81732 115926 122598 135247 154568 163464 173889 231852 245196 270494 347778 405741 463704 490392 540988 695556 811482 946729 1081976 1217223 1391112 1622964 1893458 2434446 2840187 3245928 3786916 4868892 5680374 7573832 8520561 9737784 11360748 17041122 22721496 34082244 68164488