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68393232 = 24322931621
BaseRepresentation
bin1000001001110…
…01100100010000
311202200201212200
410010321210100
5120002040412
610441523200
71460222115
oct404714420
9152621780
1068393232
1135673936
121aaa3500
131122838b
14912490c
15600e9dc
hex4139910

68393232 has 60 divisors (see below), whose sum is σ = 192177804. Its totient is φ = 22705920.

The previous prime is 68393219. The next prime is 68393243. The reversal of 68393232 is 23239386.

It can be written as a sum of positive squares in 2 ways, for example, as 59536656 + 8856576 = 7716^2 + 2976^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41382 + ... + 43002.

Almost surely, 268393232 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 68393232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96088902).

68393232 is an abundant number, since it is smaller than the sum of its proper divisors (123784572).

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

68393232 is a wasteful number, since it uses less digits than its factorization.

68393232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1919 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 68393232 is about 8270.0200725270. The cubic root of 68393232 is about 408.9507814750.

The spelling of 68393232 in words is "sixty-eight million, three hundred ninety-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293 586 879 1172 1621 1758 2344 2637 3242 3516 4688 4863 5274 6484 7032 9726 10548 12968 14064 14589 19452 21096 25936 29178 38904 42192 58356 77808 116712 233424 474953 949906 1424859 1899812 2849718 3799624 4274577 5699436 7599248 8549154 11398872 17098308 22797744 34196616 68393232