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166912928 = 2571331432
BaseRepresentation
bin10011111001011…
…10001110100000
3102122002001111022
421330232032200
5320212203203
624321305012
74064510420
oct1174561640
9378061438
10166912928
1186244176
1247a95168
1328771160
141824c480
15e9c0a38
hex9f2e3a0

166912928 has 144 divisors (see below), whose sum is σ = 427424256. Its totient is φ = 62415360.

The previous prime is 166912901. The next prime is 166912931. The reversal of 166912928 is 829219661.

166912928 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

Its product of digits (93312) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3881675 + ... + 3881717.

It is an arithmetic number, because the mean of its divisors is an integer number (2968224).

Almost surely, 2166912928 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 166912928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213712128).

166912928 is an abundant number, since it is smaller than the sum of its proper divisors (260511328).

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

166912928 is a wasteful number, since it uses less digits than its factorization.

166912928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 96 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 166912928 is about 12919.4786272512. The cubic root of 166912928 is about 550.5921204314.

The spelling of 166912928 in words is "one hundred sixty-six million, nine hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 43 52 56 62 86 91 104 112 124 172 182 208 217 224 248 301 344 364 403 416 434 496 559 602 688 728 806 868 992 1118 1204 1333 1376 1456 1612 1736 1849 2236 2408 2666 2821 2912 3224 3472 3698 3913 4472 4816 5332 5642 6448 6944 7396 7826 8944 9331 9632 10664 11284 12896 12943 14792 15652 17329 17888 18662 21328 22568 24037 25886 29584 31304 34658 37324 42656 45136 48074 51772 57319 59168 62608 69316 74648 90272 96148 103544 114638 121303 125216 138632 149296 168259 192296 207088 229276 242606 277264 298592 336518 384592 401233 414176 458552 485212 554528 673036 745147 769184 802466 917104 970424 1346072 1490294 1604932 1834208 1940848 2692144 2980588 3209864 3881696 5216029 5384288 5961176 6419728 10432058 11922352 12839456 20864116 23844704 41728232 83456464 166912928