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168024948 = 2237131511019
BaseRepresentation
bin10100000001111…
…01101101110100
3102201011112220020
422000331231310
5321003244243
624401205140
74110121440
oct1200755564
9381145806
10168024948
11869336a3
12483307b0
1328a70360
141845b820
15eb40283
hexa03db74

168024948 has 96 divisors (see below), whose sum is σ = 486205440. Its totient is φ = 43977600.

The previous prime is 168024943. The next prime is 168025019. The reversal of 168024948 is 849420861.

168024948 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

168024948 is a modest number, since divided by 24948 gives 168 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168024943) 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, 164383 + ... + 165401.

It is an arithmetic number, because the mean of its divisors is an integer number (5064640).

Almost surely, 2168024948 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 168024948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243102720).

168024948 is an abundant number, since it is smaller than the sum of its proper divisors (318180492).

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

168024948 is a wasteful number, since it uses less digits than its factorization.

168024948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 168024948 is about 12962.4437510834. The cubic root of 168024948 is about 551.8121472737.

The spelling of 168024948 in words is "one hundred sixty-eight million, twenty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 151 156 182 273 302 364 453 546 604 906 1019 1057 1092 1812 1963 2038 2114 3057 3171 3926 4076 4228 5889 6114 6342 7133 7852 11778 12228 12684 13247 13741 14266 21399 23556 26494 27482 28532 39741 41223 42798 52988 54964 79482 82446 85596 92729 153869 158964 164892 185458 278187 307738 370916 461607 556374 615476 923214 1077083 1112748 1846428 2000297 2154166 3231249 4000594 4308332 6000891 6462498 8001188 12001782 12924996 14002079 24003564 28004158 42006237 56008316 84012474 168024948