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77087332 = 22719473083
BaseRepresentation
bin1001001100001…
…00001001100100
312101001102221101
410212010021210
5124213243312
611352125444
71624142260
oct446041144
9171042841
1077087332
113a571943
1221996884
1312c8070a
14a3490a0
156b7aa57
hex4984264

77087332 has 48 divisors (see below), whose sum is σ = 165795840. Its totient is φ = 30622752.

The previous prime is 77087293. The next prime is 77087383. The reversal of 77087332 is 23378077.

It is a junction number, because it is equal to n+sod(n) for n = 77087291 and 77087300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23463 + ... + 26545.

It is an arithmetic number, because the mean of its divisors is an integer number (3454080).

Almost surely, 277087332 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 77087332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82897920).

77087332 is an abundant number, since it is smaller than the sum of its proper divisors (88708508).

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

77087332 is a wasteful number, since it uses less digits than its factorization.

77087332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 77087332 is about 8779.9391797438. The cubic root of 77087332 is about 425.5928648553.

The spelling of 77087332 in words is "seventy-seven million, eighty-seven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 47 76 94 133 188 266 329 532 658 893 1316 1786 3083 3572 6166 6251 12332 12502 21581 25004 43162 58577 86324 117154 144901 234308 289802 410039 579604 820078 1014307 1640156 2028614 2753119 4057228 5506238 11012476 19271833 38543666 77087332