Search a number
-
+
89200041 = 37219109293
BaseRepresentation
bin1010101000100…
…01010110101001
320012211211110020
411110101112221
5140313400131
612503511053
72132121300
oct524212651
9205754406
1089200041
1146395347
1225a58489
1315631ab8
14bbbd437
157c6e996
hex55115a9

89200041 has 48 divisors (see below), whose sum is σ = 147470400. Its totient is φ = 47682432.

The previous prime is 89200019. The next prime is 89200043. The reversal of 89200041 is 14000298.

It is not a de Polignac number, because 89200041 - 26 = 89199977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 89199984 and 89200020.

It is not an unprimeable number, because it can be changed into a prime (89200043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304291 + ... + 304583.

It is an arithmetic number, because the mean of its divisors is an integer number (3072300).

Almost surely, 289200041 is an apocalyptic number.

It is an amenable number.

89200041 is a deficient number, since it is larger than the sum of its proper divisors (58270359).

89200041 is a wasteful number, since it uses less digits than its factorization.

89200041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 89200041 is about 9444.5773330520. The cubic root of 89200041 is about 446.8087656476.

The spelling of 89200041 in words is "eighty-nine million, two hundred thousand, forty-one".

Divisors: 1 3 7 19 21 49 57 109 133 147 293 327 399 763 879 931 2051 2071 2289 2793 5341 5567 6153 6213 14357 14497 16023 16701 31937 38969 43071 43491 95811 101479 116907 223559 272783 304437 606803 670677 818349 1564913 1820409 4247621 4694739 12742863 29733347 89200041