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68337152 = 291310267
BaseRepresentation
bin1000001001010…
…11111000000000
311202120212221122
410010223320000
5114443242102
610440411412
71456566452
oct404537000
9152525848
1068337152
1135635794
121aa76b68
13112089b0
14910c2d2
155eed0a2
hex412be00

68337152 has 40 divisors (see below), whose sum is σ = 147058296. Its totient is φ = 31537152.

The previous prime is 68337151. The next prime is 68337169. The reversal of 68337152 is 25173386.

It is a super-2 number, since 2×683371522 = 9339932686942208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68337151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1523 + ... + 11789.

Almost surely, 268337152 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 68337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73529148).

68337152 is an abundant number, since it is smaller than the sum of its proper divisors (78721144).

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

68337152 is a wasteful number, since it uses less digits than its factorization.

68337152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 10282 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 68337152 is about 8266.6288171177. The cubic root of 68337152 is about 408.8389759140.

The spelling of 68337152 in words is "sixty-eight million, three hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 10267 20534 41068 82136 133471 164272 266942 328544 533884 657088 1067768 1314176 2135536 2628352 4271072 5256704 8542144 17084288 34168576 68337152