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81018952 = 237241712
BaseRepresentation
bin1001101010001…
…00000001001000
312122110012002221
410311010001020
5131220101302
612012303424
72002435600
oct465040110
9178405087
1081018952
1141807813
1223171b74
1313a29111
14aa8dc00
1571a5937
hex4d44048

81018952 has 72 divisors (see below), whose sum is σ = 183607830. Its totient is φ = 33398400.

The previous prime is 81018947. The next prime is 81018961. The reversal of 81018952 is 25981018.

It can be written as a sum of positive squares in only one way, i.e., 80030916 + 988036 = 8946^2 + 994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1141077 + ... + 1141147.

Almost surely, 281018952 is an apocalyptic number.

81018952 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81018952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91803915).

81018952 is an abundant number, since it is smaller than the sum of its proper divisors (102588878).

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

81018952 is a wasteful number, since it uses less digits than its factorization.

81018952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 81018952 is about 9001.0528273086. The cubic root of 81018952 is about 432.7086135396.

The spelling of 81018952 in words is "eighty-one million, eighteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 41 49 56 71 82 98 142 164 196 284 287 328 392 497 568 574 994 1148 1988 2009 2296 2911 3479 3976 4018 5041 5822 6958 8036 10082 11644 13916 16072 20164 20377 23288 27832 35287 40328 40754 70574 81508 141148 142639 163016 206681 247009 282296 285278 413362 494018 570556 826724 988036 1141112 1446767 1653448 1976072 2893534 5787068 10127369 11574136 20254738 40509476 81018952