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81876352 = 2717191197
BaseRepresentation
bin1001110000101…
…01010110000000
312201001202020111
410320111112000
5131430020402
612042521104
72012636365
oct470252600
9181052214
1081876352
1142242a08
1223506194
1313c6945c
14ac3446c
1572c49d7
hex4e15580

81876352 has 64 divisors (see below), whose sum is σ = 174493440. Its totient is φ = 38133760.

The previous prime is 81876341. The next prime is 81876359. The reversal of 81876352 is 25367818.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81876359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415518 + ... + 415714.

It is an arithmetic number, because the mean of its divisors is an integer number (2726460).

Almost surely, 281876352 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 81876352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87246720).

81876352 is an abundant number, since it is smaller than the sum of its proper divisors (92617088).

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

81876352 is a wasteful number, since it uses less digits than its factorization.

81876352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 81876352 is about 9048.5552437944. Note that the first 3 decimals coincide. The cubic root of 81876352 is about 434.2296702511.

It can be divided in two parts, 81876 and 352, that added together give a palindrome (82228).

The spelling of 81876352 in words is "eighty-one million, eight hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 191 197 272 382 394 544 764 788 1088 1528 1576 2176 3056 3152 3247 3349 6112 6304 6494 6698 12224 12608 12988 13396 24448 25216 25976 26792 37627 51952 53584 75254 103904 107168 150508 207808 214336 301016 415616 428672 602032 639659 1204064 1279318 2408128 2558636 4816256 5117272 10234544 20469088 40938176 81876352