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68817232 = 24112997139
BaseRepresentation
bin1000001101000…
…01000101010000
311210111021111101
410012201011100
5120104122412
610454554144
71463636221
oct406410520
9153437441
1068817232
1135933450
121b068954
1311346373
1491d5248
156095457
hex41a1150

68817232 has 80 divisors (see below), whose sum is σ = 153115200. Its totient is φ = 29675520.

The previous prime is 68817227. The next prime is 68817239. The reversal of 68817232 is 23271886.

It is a super-3 number, since 3×688172323 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 68817191 and 68817200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68817239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495019 + ... + 495157.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 268817232 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 68817232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76557600).

68817232 is an abundant number, since it is smaller than the sum of its proper divisors (84297968).

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

68817232 is a wasteful number, since it uses less digits than its factorization.

68817232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 68817232 is about 8295.6152273355. The cubic root of 68817232 is about 409.7941302368.

The spelling of 68817232 in words is "sixty-eight million, eight hundred seventeen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 97 116 139 176 194 232 278 319 388 464 556 638 776 1067 1112 1276 1529 1552 2134 2224 2552 2813 3058 4031 4268 5104 5626 6116 8062 8536 11252 12232 13483 16124 17072 22504 24464 26966 30943 32248 44341 45008 53932 61886 64496 88682 107864 123772 148313 177364 215728 247544 296626 354728 391007 495088 593252 709456 782014 1186504 1564028 2373008 3128056 4301077 6256112 8602154 17204308 34408616 68817232