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81383632 = 24112127331
BaseRepresentation
bin1001101100111…
…01000011010000
312200010201100121
410312131003100
5131313234012
612024200024
72005515031
oct466350320
9180121317
1081383632
1141a36800
1223309014
1313b260c5
14ab46a88
157228a07
hex4d9d0d0

81383632 has 60 divisors (see below), whose sum is σ = 175211008. Its totient is φ = 36590400.

The previous prime is 81383611. The next prime is 81383639. The reversal of 81383632 is 23638318.

It is a super-2 number, since 2×813836322 = 13246591115022848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81383639) 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, 245707 + ... + 246037.

Almost surely, 281383632 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 81383632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87605504).

81383632 is an abundant number, since it is smaller than the sum of its proper divisors (93827376).

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

81383632 is a wasteful number, since it uses less digits than its factorization.

81383632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 471 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 81383632 is about 9021.2877129598. The cubic root of 81383632 is about 433.3568734089.

The spelling of 81383632 in words is "eighty-one million, three hundred eighty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 127 176 242 254 331 484 508 662 968 1016 1324 1397 1936 2032 2648 2794 3641 5296 5588 7282 11176 14564 15367 22352 29128 30734 40051 42037 58256 61468 80102 84074 122936 160204 168148 245872 320408 336296 462407 640816 672592 924814 1849628 3699256 5086477 7398512 10172954 20345908 40691816 81383632