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77228748 = 223341107163
BaseRepresentation
bin1001001101001…
…10101011001100
312101022121221000
410212212223030
5124232304443
611355140300
71625301462
oct446465314
9171277830
1077228748
113a659113
1221a44690
1312cccbac
14a384832
156ba78d3
hex49a6acc

77228748 has 96 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 24727680.

The previous prime is 77228747. The next prime is 77228777. The reversal of 77228748 is 84782277.

It is not an unprimeable number, because it can be changed into a prime (77228747) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 473715 + ... + 473877.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 277228748 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 77228748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104146560).

77228748 is an abundant number, since it is smaller than the sum of its proper divisors (131064372).

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

77228748 is a wasteful number, since it uses less digits than its factorization.

77228748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 351232, while the sum is 45.

The square root of 77228748 is about 8787.9888484226. The cubic root of 77228748 is about 425.8529546052.

The spelling of 77228748 in words is "seventy-seven million, two hundred twenty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 107 108 123 163 164 214 246 321 326 369 428 489 492 642 652 738 963 978 1107 1284 1467 1476 1926 1956 2214 2889 2934 3852 4387 4401 4428 5778 5868 6683 8774 8802 11556 13161 13366 17441 17548 17604 20049 26322 26732 34882 39483 40098 52323 52644 60147 69764 78966 80196 104646 118449 120294 156969 157932 180441 209292 236898 240588 313938 360882 470907 473796 627876 715081 721764 941814 1430162 1883628 2145243 2860324 4290486 6435729 8580972 12871458 19307187 25742916 38614374 77228748