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81508608 = 2832172081
BaseRepresentation
bin1001101101110…
…11100100000000
312200101001210100
410312323210000
5131331233413
612031002400
72006545266
oct466734400
9180331710
1081508608
1142011695
1223369400
1313b6ac5c
14ab7a436
157250a73
hex4dbb900

81508608 has 108 divisors (see below), whose sum is σ = 248953068. Its totient is φ = 25559040.

The previous prime is 81508597. The next prime is 81508621. The reversal of 81508608 is 80680518.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 33732864 = 6912^2 + 5808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38128 + ... + 40208.

It is an arithmetic number, because the mean of its divisors is an integer number (2305121).

Almost surely, 281508608 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 81508608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124476534).

81508608 is an abundant number, since it is smaller than the sum of its proper divisors (167444460).

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

81508608 is a wasteful number, since it uses less digits than its factorization.

81508608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 81508608 is about 9028.2117830720. The cubic root of 81508608 is about 433.5785867432.

The spelling of 81508608 in words is "eighty-one million, five hundred eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2081 2176 2304 2448 3264 4162 4352 4896 6243 6528 8324 9792 12486 13056 16648 18729 19584 24972 33296 35377 37458 39168 49944 66592 70754 74916 99888 106131 133184 141508 149832 199776 212262 266368 283016 299664 318393 399552 424524 532736 566032 599328 636786 799104 849048 1132064 1198656 1273572 1598208 1698096 2264128 2397312 2547144 3396192 4528256 4794624 5094288 6792384 9056512 10188576 13584768 20377152 27169536 40754304 81508608