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161641008 = 2434191653
BaseRepresentation
bin10011010001001…
…11001000110000
3102021011012210000
421220213020300
5312340003013
624012310000
74001632404
oct1150471060
9367135700
10161641008
1183273311
1246172300
1327646689
1417679104
15e2cd973
hex9a27230

161641008 has 100 divisors (see below), whose sum is σ = 471005568. Its totient is φ = 53516160.

The previous prime is 161641003. The next prime is 161641009. The reversal of 161641008 is 800146161.

161641008 is a `hidden beast` number, since 1 + 616 + 41 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×1616410082 = 52255630934512128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (161641001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 247210 + ... + 247862.

Almost surely, 2161641008 is an apocalyptic number.

161641008 is a gapful number since it is divisible by the number (18) 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 161641008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235502784).

161641008 is an abundant number, since it is smaller than the sum of its proper divisors (309364560).

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

161641008 is a wasteful number, since it uses less digits than its factorization.

161641008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 161641008 is about 12713.8117022394. The cubic root of 161641008 is about 544.7332061177.

Adding to 161641008 its reverse (800146161), we get a palindrome (961787169).

It can be divided in two parts, 1616 and 41008, that added together give a palindrome (42624).

The spelling of 161641008 in words is "one hundred sixty-one million, six hundred forty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 191 216 324 382 432 573 648 653 764 1146 1296 1306 1528 1719 1959 2292 2612 3056 3438 3918 4584 5157 5224 5877 6876 7836 9168 10314 10448 11754 13752 15471 15672 17631 20628 23508 27504 30942 31344 35262 41256 47016 52893 61884 70524 82512 94032 105786 123768 124723 141048 211572 247536 249446 282096 374169 423144 498892 748338 846288 997784 1122507 1496676 1995568 2245014 2993352 3367521 4490028 5986704 6735042 8980056 10102563 13470084 17960112 20205126 26940168 40410252 53880336 80820504 161641008