Search a number
-
+
68862464 = 291112227
BaseRepresentation
bin1000001101011…
…00001000000000
311210120120112122
410012230020000
5120112044324
610455543412
71464215126
oct406541000
9153516478
1068862464
1135964430
121b08ab68
1311360b28
149207916
1560a3a5e
hex41ac200

68862464 has 40 divisors (see below), whose sum is σ = 150110928. Its totient is φ = 31298560.

The previous prime is 68862463. The next prime is 68862481. The reversal of 68862464 is 46426886.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (68862463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 482 + ... + 11745.

Almost surely, 268862464 is an apocalyptic number.

68862464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68862464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75055464).

68862464 is an abundant number, since it is smaller than the sum of its proper divisors (81248464).

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

68862464 is a wasteful number, since it uses less digits than its factorization.

68862464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12256 (or 12240 counting only the distinct ones).

The product of its digits is 442368, while the sum is 44.

The square root of 68862464 is about 8298.3410390270. The cubic root of 68862464 is about 409.8838933576.

The spelling of 68862464 in words is "sixty-eight million, eight hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 12227 24454 48908 97816 134497 195632 268994 391264 537988 782528 1075976 1565056 2151952 3130112 4303904 6260224 8607808 17215616 34431232 68862464