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169493472 = 253571307
BaseRepresentation
bin10100001101001…
…00001111100000
3102210221011100000
422012210033200
5321342242342
624452500000
74125446031
oct1206441740
9383834300
10169493472
1187746a55
124891a600
13291658c5
1418720a88
15ed3044c
hexa1a43e0

169493472 has 144 divisors (see below), whose sum is σ = 508540032. Its totient is φ = 55520640.

The previous prime is 169493449. The next prime is 169493483. The reversal of 169493472 is 274394961.

It is a happy number.

169493472 is a `hidden beast` number, since 1 + 6 + 94 + 93 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1694934722 = 57456074101229568, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 551943 + ... + 552249.

It is an arithmetic number, because the mean of its divisors is an integer number (3531528).

Almost surely, 2169493472 is an apocalyptic number.

169493472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169493472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254270016).

169493472 is an abundant number, since it is smaller than the sum of its proper divisors (339046560).

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

169493472 is an equidigital number, since it uses as much as digits as its factorization.

169493472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 383 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 169493472 is about 13018.9658575480. The cubic root of 169493472 is about 553.4150838070.

The spelling of 169493472 in words is "one hundred sixty-nine million, four hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 243 284 288 307 324 426 432 486 568 614 639 648 852 864 921 972 1136 1228 1278 1296 1704 1842 1917 1944 2272 2456 2556 2592 2763 3408 3684 3834 3888 4912 5112 5526 5751 6816 7368 7668 7776 8289 9824 10224 11052 11502 14736 15336 16578 17253 20448 21797 22104 23004 24867 29472 30672 33156 34506 43594 44208 46008 49734 61344 65391 66312 69012 74601 87188 88416 92016 99468 130782 132624 138024 149202 174376 184032 196173 198936 261564 265248 276048 298404 348752 392346 397872 523128 552096 588519 596808 697504 784692 795744 1046256 1177038 1193616 1569384 1765557 2092512 2354076 2387232 3138768 3531114 4708152 5296671 6277536 7062228 9416304 10593342 14124456 18832608 21186684 28248912 42373368 56497824 84746736 169493472