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168525048 = 233231631873
BaseRepresentation
bin10100000101101…
…11110011111000
3102202002221220110
422002313303320
5321120300143
624420024320
74114303446
oct1202676370
9382087813
10168525048
11871453aa
12485320a0
1328bb6b83
141854bb96
15ebdd533
hexa0b7cf8

168525048 has 64 divisors (see below), whose sum is σ = 442563840. Its totient is φ = 53374464.

The previous prime is 168525043. The next prime is 168525073. The reversal of 168525048 is 840525861.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 168524997 and 168525015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168525043) 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, 89040 + ... + 90912.

It is an arithmetic number, because the mean of its divisors is an integer number (6915060).

Almost surely, 2168525048 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 168525048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221281920).

168525048 is an abundant number, since it is smaller than the sum of its proper divisors (274038792).

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

168525048 is a wasteful number, since it uses less digits than its factorization.

168525048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 168525048 is about 12981.7197628049. The cubic root of 168525048 is about 552.3590659005.

The spelling of 168525048 in words is "one hundred sixty-eight million, five hundred twenty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 163 184 276 326 489 552 652 978 1304 1873 1956 3746 3749 3912 5619 7492 7498 11238 11247 14984 14996 22476 22494 29992 43079 44952 44988 86158 89976 129237 172316 258474 305299 344632 516948 610598 915897 1033896 1221196 1831794 2442392 3663588 7021877 7327176 14043754 21065631 28087508 42131262 56175016 84262524 168525048