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80764544 = 277279163
BaseRepresentation
bin1001101000001…
…01111010000000
312121222021010102
410310011322000
5131133431134
612003021532
72000326100
oct464057200
9177867112
1080764544
1141653663
122306a8a8
131396a393
14aa25200
15715537e
hex4d05e80

80764544 has 96 divisors (see below), whose sum is σ = 190699200. Its totient is φ = 33965568.

The previous prime is 80764543. The next prime is 80764577. The reversal of 80764544 is 44546708.

It is a junction number, because it is equal to n+sod(n) for n = 80764498 and 80764507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80764543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495407 + ... + 495569.

It is an arithmetic number, because the mean of its divisors is an integer number (1986450).

Almost surely, 280764544 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 80764544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95349600).

80764544 is an abundant number, since it is smaller than the sum of its proper divisors (109934656).

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

80764544 is a wasteful number, since it uses less digits than its factorization.

80764544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 80764544 is about 8986.9095911776. The cubic root of 80764544 is about 432.2552218441.

The spelling of 80764544 in words is "eighty million, seven hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 128 158 163 196 224 316 326 392 448 553 632 652 784 896 1106 1141 1264 1304 1568 2212 2282 2528 2608 3136 3871 4424 4564 5056 5216 6272 7742 7987 8848 9128 10112 10432 12877 15484 15974 17696 18256 20864 25754 30968 31948 35392 36512 51508 61936 63896 70784 73024 90139 103016 123872 127792 146048 180278 206032 247744 255584 360556 412064 495488 511168 630973 721112 824128 1022336 1261946 1442224 1648256 2523892 2884448 5047784 5768896 10095568 11537792 20191136 40382272 80764544