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68213248 = 29172461
BaseRepresentation
bin1000001000011…
…01101000000000
311202100120222121
410010031220000
5114430310443
610434014024
71455542305
oct404155000
9152316877
1068213248
1135560694
121aa17314
131119448c
1490b90ac
155ec64ed
hex410da00

68213248 has 60 divisors (see below), whose sum is σ = 145096182. Its totient is φ = 32030720.

The previous prime is 68213227. The next prime is 68213267. The reversal of 68213248 is 84231286.

It can be written as a sum of positive squares in 3 ways, for example, as 65804544 + 2408704 = 8112^2 + 1552^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 147738 + ... + 148198.

Almost surely, 268213248 is an apocalyptic number.

68213248 is a gapful number since it is divisible by the number (68) 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 68213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72548091).

68213248 is an abundant number, since it is smaller than the sum of its proper divisors (76882934).

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

68213248 is an equidigital number, since it uses as much as digits as its factorization.

68213248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 480 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 68213248 is about 8259.1311891748. The cubic root of 68213248 is about 408.5917339691.

It can be divided in two parts, 68 and 213248, that multiplied together give a square (14500864 = 38082).

The spelling of 68213248 in words is "sixty-eight million, two hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 461 512 544 578 922 1088 1156 1844 2176 2312 3688 4352 4624 7376 7837 8704 9248 14752 15674 18496 29504 31348 36992 59008 62696 73984 118016 125392 133229 147968 236032 250784 266458 501568 532916 1003136 1065832 2006272 2131664 4012544 4263328 8526656 17053312 34106624 68213248