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166468352 = 2817291319
BaseRepresentation
bin10011110110000…
…01101100000000
3102121020110122112
421323001230000
5320103441402
624303554452
74060646321
oct1173015400
9377213575
10166468352
1185a70156
12478bba28
13286469ab
1418174448
15e933e52
hex9ec1b00

166468352 has 72 divisors (see below), whose sum is σ = 364240800. Its totient is φ = 75579392.

The previous prime is 166468343. The next prime is 166468363. The reversal of 166468352 is 253864661.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125549 + ... + 126867.

It is an arithmetic number, because the mean of its divisors is an integer number (5058900).

Almost surely, 2166468352 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 166468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182120400).

166468352 is an abundant number, since it is smaller than the sum of its proper divisors (197772448).

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

166468352 is a wasteful number, since it uses less digits than its factorization.

166468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1367 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 166468352 is about 12902.2615071932. The cubic root of 166468352 is about 550.1028479842.

The spelling of 166468352 in words is "one hundred sixty-six million, four hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 256 272 464 493 544 928 986 1088 1319 1856 1972 2176 2638 3712 3944 4352 5276 7424 7888 10552 15776 21104 22423 31552 38251 42208 44846 63104 76502 84416 89692 126208 153004 168832 179384 306008 337664 358768 612016 650267 717536 1224032 1300534 1435072 2448064 2601068 2870144 4896128 5202136 5740288 9792256 10404272 20808544 41617088 83234176 166468352