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68024448 = 27312
BaseRepresentation
bin1000000110111…
…11100010000000
311202000000000000
410003133202000
5114403240243
610430000000
71454125002
oct403374200
9152000000
1068024448
1135441858
121a946000
131112956b
14906a372
155e8a5d3
hex40df880

68024448 has 104 divisors (see below), whose sum is σ = 203276055. Its totient is φ = 22674816.

The previous prime is 68024441. The next prime is 68024477. The reversal of 68024448 is 84442086.

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.

It can be written as a sum of positive squares in only one way, i.e., 34012224 + 34012224 = 5832^2 + 5832^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5832.

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

It is not an unprimeable number, because it can be changed into a prime (68024441) by changing a digit.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 22674815 + 22674816 + 22674817.

Almost surely, 268024448 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 68024448

68024448 is an abundant number, since it is smaller than the sum of its proper divisors (135251607).

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

68024448 is an frugal number, since it uses more digits than its factorization.

68024448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 68024448 is about 8247.6934957599. The cubic root of 68024448 is about 408.2144201659.

68024448 divided by its sum of digits (36) gives a 5-th power (1889568 = 185).

The spelling of 68024448 in words is "sixty-eight million, twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2187 2592 2916 3456 3888 4374 5184 5832 6561 7776 8748 10368 11664 13122 15552 17496 19683 23328 26244 31104 34992 39366 46656 52488 59049 69984 78732 93312 104976 118098 139968 157464 177147 209952 236196 279936 314928 354294 419904 472392 531441 629856 708588 839808 944784 1062882 1259712 1417176 1889568 2125764 2519424 2834352 3779136 4251528 5668704 7558272 8503056 11337408 17006112 22674816 34012224 68024448