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81743168 = 2613195171
BaseRepresentation
bin1001101111101…
…00110101000000
312200210222112202
410313310311000
5131411240133
612040012332
72011543163
oct467646500
9180728482
1081743168
1142161941
12234610a8
1313c20950
14abdbada
15729a2e8
hex4df4d40

81743168 has 56 divisors (see below), whose sum is σ = 183916320. Its totient is φ = 35735040.

The previous prime is 81743159. The next prime is 81743171. The reversal of 81743168 is 86134718.

It is a super-4 number, since 4×817431684 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 7 ways as a sum of consecutive naturals, for example, 13223 + ... + 18393.

It is an arithmetic number, because the mean of its divisors is an integer number (3284220).

Almost surely, 281743168 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 81743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91958160).

81743168 is an abundant number, since it is smaller than the sum of its proper divisors (102173152).

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

81743168 is a wasteful number, since it uses less digits than its factorization.

81743168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215 (or 5205 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 81743168 is about 9041.1928416554. The cubic root of 81743168 is about 433.9940962054.

The spelling of 81743168 in words is "eighty-one million, seven hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3952 5171 7904 10342 15808 20684 41368 67223 82736 98249 134446 165472 196498 268892 330944 392996 537784 785992 1075568 1277237 1571984 2151136 2554474 3143968 4302272 5108948 6287936 10217896 20435792 40871584 81743168