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80848768 = 2771113631
BaseRepresentation
bin1001101000110…
…10011110000000
312122010112122211
410310122132000
5131144130033
612004511504
72001126460
oct464323600
9178115584
1080848768
1141700970
12230ab594
1313999810
14aa47ba0
1571702cd
hex4d1a780

80848768 has 128 divisors (see below), whose sum is σ = 216599040. Its totient is φ = 29030400.

The previous prime is 80848763. The next prime is 80848771. The reversal of 80848768 is 86784808.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80848763) 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 15 ways as a sum of consecutive naturals, for example, 127813 + ... + 128443.

It is an arithmetic number, because the mean of its divisors is an integer number (1692180).

Almost surely, 280848768 is an apocalyptic number.

80848768 is a gapful number since it is divisible by the number (88) 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 80848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108299520).

80848768 is an abundant number, since it is smaller than the sum of its proper divisors (135750272).

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

80848768 is a wasteful number, since it uses less digits than its factorization.

80848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 49.

The square root of 80848768 is about 8991.5942968975. The cubic root of 80848768 is about 432.4054264351.

It can be divided in two parts, 80 and 848768, that added together give a palindrome (848848).

The spelling of 80848768 in words is "eighty million, eight hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 572 616 631 704 728 832 896 1001 1144 1232 1262 1408 1456 1664 2002 2288 2464 2524 2912 4004 4417 4576 4928 5048 5824 6941 8008 8203 8834 9152 9856 10096 11648 13882 16016 16406 17668 18304 20192 27764 32032 32812 35336 40384 48587 55528 57421 64064 65624 70672 80768 90233 97174 111056 114842 128128 131248 141344 180466 194348 222112 229684 262496 282688 360932 388696 444224 459368 524992 565376 631631 721864 777392 888448 918736 1049984 1263262 1443728 1554784 1837472 2526524 2887456 3109568 3674944 5053048 5774912 6219136 7349888 10106096 11549824 20212192 40424384 80848768