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168948948 = 223753137277
BaseRepresentation
bin10100001000111…
…11010011010100
3102202220111101110
422010133103110
5321222331243
624433055020
74121020350
oct1204372324
9382814343
10168948948
1187404933
12486b7470
1329004abc
141861c460
15ec73e33
hexa11f4d4

168948948 has 96 divisors (see below), whose sum is σ = 464050944. Its totient is φ = 46844928.

The previous prime is 168948887. The next prime is 168948991. The reversal of 168948948 is 849849861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609786 + ... + 610062.

It is an arithmetic number, because the mean of its divisors is an integer number (4833864).

Almost surely, 2168948948 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 168948948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232025472).

168948948 is an abundant number, since it is smaller than the sum of its proper divisors (295101996).

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

168948948 is a wasteful number, since it uses less digits than its factorization.

168948948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 57.

The square root of 168948948 is about 12998.0363132282. The cubic root of 168948948 is about 552.8218041612.

The spelling of 168948948 in words is "one hundred sixty-eight million, nine hundred forty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 137 159 212 274 277 318 371 411 548 554 636 742 822 831 959 1108 1113 1484 1644 1662 1918 1939 2226 2877 3324 3836 3878 4452 5754 5817 7261 7756 11508 11634 14522 14681 21783 23268 29044 29362 37949 43566 44043 50827 58724 75898 87132 88086 101654 102767 113847 151796 152481 176172 203308 205534 227694 265643 304962 308301 411068 455388 531286 609924 616602 796929 1062572 1233204 1593858 2011297 3187716 4022594 6033891 8045188 12067782 14079079 24135564 28158158 42237237 56316316 84474474 168948948