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77219380 = 22572831949
BaseRepresentation
bin1001001101001…
…00011000110100
312101022011002001
410212210120310
5124232010010
611355025044
71625232250
oct446443064
9171264061
1077219380
113a652077
1221a3b184
1312cc8854
14a381260
156ba4c3a
hex49a4634

77219380 has 48 divisors (see below), whose sum is σ = 186076800. Its totient is φ = 26368128.

The previous prime is 77219353. The next prime is 77219383. The reversal of 77219380 is 8391277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77219383) 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, 38646 + ... + 40594.

It is an arithmetic number, because the mean of its divisors is an integer number (3876600).

Almost surely, 277219380 is an apocalyptic number.

77219380 is a gapful number since it is divisible by the number (70) 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 77219380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93038400).

77219380 is an abundant number, since it is smaller than the sum of its proper divisors (108857420).

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

77219380 is a wasteful number, since it uses less digits than its factorization.

77219380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 77219380 is about 8787.4558320369. The cubic root of 77219380 is about 425.8357349735.

The spelling of 77219380 in words is "seventy-seven million, two hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 566 1132 1415 1949 1981 2830 3898 3962 5660 7796 7924 9745 9905 13643 19490 19810 27286 38980 39620 54572 68215 136430 272860 551567 1103134 2206268 2757835 3860969 5515670 7721938 11031340 15443876 19304845 38609690 77219380