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68237952 = 273832141
BaseRepresentation
bin1000001000100…
…11101010000000
311202101211212120
410010103222000
5114432103302
610434324240
71456004316
oct404235200
9152354776
1068237952
1135578202
121aa29680
13111a27b3
1490c40b6
155ecd9bc
hex4113a80

68237952 has 64 divisors (see below), whose sum is σ = 183526560. Its totient is φ = 22461440.

The previous prime is 68237951. The next prime is 68237963. The reversal of 68237952 is 25973286.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×682379523 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (68237951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30802 + ... + 32942.

Almost surely, 268237952 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 68237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91763280).

68237952 is an abundant number, since it is smaller than the sum of its proper divisors (115288608).

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

68237952 is a wasteful number, since it uses less digits than its factorization.

68237952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2229 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 68237952 is about 8260.6266106150. The cubic root of 68237952 is about 408.6410529906.

The spelling of 68237952 in words is "sixty-eight million, two hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2141 2656 3984 4282 5312 6423 7968 8564 10624 12846 15936 17128 25692 31872 34256 51384 68512 102768 137024 177703 205536 274048 355406 411072 533109 710812 822144 1066218 1421624 2132436 2843248 4264872 5686496 8529744 11372992 17059488 22745984 34118976 68237952