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168810048 = 26331183107
BaseRepresentation
bin10100000111111…
…01011001000000
3102202122102212000
422003331121000
5321203410143
624430104000
74116601401
oct1203753100
9382572760
10168810048
118731a540
124864b000
1328c86804
14185c39a8
15ec47bd3
hexa0fd640

168810048 has 224 divisors, whose sum is σ = 553029120. Its totient is φ = 50065920.

The previous prime is 168810043. The next prime is 168810049. The reversal of 168810048 is 840018861.

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

It is a junction number, because it is equal to n+sod(n) for n = 168809994 and 168810021.

It is not an unprimeable number, because it can be changed into a prime (168810043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1577611 + ... + 1577717.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2168810048 is an apocalyptic number.

168810048 is a gapful number since it is divisible by the number (18) 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 168810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

168810048 is an abundant number, since it is smaller than the sum of its proper divisors (384219072).

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

168810048 is a wasteful number, since it uses less digits than its factorization.

168810048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 168810048 is about 12992.6920997921. The cubic root of 168810048 is about 552.6702633114.

The spelling of 168810048 in words is "one hundred sixty-eight million, eight hundred ten thousand, forty-eight".