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81997848 = 233229173227
BaseRepresentation
bin1001110001100…
…11000000011000
312201021220220100
410320303000120
5131442412343
612045255400
72013653532
oct470630030
9181256810
1081997848
1142316219
1223564560
1313cac84a
14ac66852
1572ea9d3
hex4e33018

81997848 has 96 divisors (see below), whose sum is σ = 232081200. Its totient is φ = 26121984.

The previous prime is 81997841. The next prime is 81997849. The reversal of 81997848 is 84879918.

It is a super-2 number, since 2×819978482 = 13447294153262208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81997794 and 81997803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81997841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361111 + ... + 361337.

Almost surely, 281997848 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 81997848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116040600).

81997848 is an abundant number, since it is smaller than the sum of its proper divisors (150083352).

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

81997848 is a wasteful number, since it uses less digits than its factorization.

81997848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 81997848 is about 9055.2663130357. The cubic root of 81997848 is about 434.4443480053. Note that the first 3 decimals are identical.

The spelling of 81997848 in words is "eighty-one million, nine hundred ninety-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 173 174 227 232 261 346 348 454 519 522 681 692 696 908 1038 1044 1362 1384 1557 1816 2043 2076 2088 2724 3114 4086 4152 5017 5448 6228 6583 8172 10034 12456 13166 15051 16344 19749 20068 26332 30102 39271 39498 40136 45153 52664 59247 60204 78542 78996 90306 117813 118494 120408 157084 157992 180612 235626 236988 314168 353439 361224 471252 473976 706878 942504 1138859 1413756 2277718 2827512 3416577 4555436 6833154 9110872 10249731 13666308 20499462 27332616 40998924 81997848