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68948544 = 263729261
BaseRepresentation
bin1000001110000…
…01001001000000
311210201221121210
410013001021000
5120122323134
610501450120
71465024110
oct407011100
9153657553
1068948544
1135a13075
121b110940
1311391072
14922b040
1560be2e9
hex41c1240

68948544 has 168 divisors, whose sum is σ = 219464128. Its totient is φ = 18708480.

The previous prime is 68948533. The next prime is 68948569. The reversal of 68948544 is 44584986.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 68948493 and 68948502.

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 23 ways as a sum of consecutive naturals, for example, 1130274 + ... + 1130334.

Almost surely, 268948544 is an apocalyptic number.

68948544 is a gapful number since it is divisible by the number (64) 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 68948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109732064).

68948544 is an abundant number, since it is smaller than the sum of its proper divisors (150515584).

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

68948544 is a wasteful number, since it uses less digits than its factorization.

68948544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 68948544 is about 8303.5259980324. The cubic root of 68948544 is about 410.0546110084.

The spelling of 68948544 in words is "sixty-eight million, nine hundred forty-eight thousand, five hundred forty-four".