Search a number
-
+
88042405 = 51117229191
BaseRepresentation
bin1010011111101…
…10101110100101
320010200000110211
411033312232211
5140014324110
612423015421
72116230253
oct517665645
9203600424
1088042405
1145774620
122559a571
1315317bc9
14b99b5d3
157ae198a
hex53f6ba5

88042405 has 48 divisors (see below), whose sum is σ = 127319040. Its totient is φ = 57881600.

The previous prime is 88042399. The next prime is 88042417. The reversal of 88042405 is 50424088.

It is not a de Polignac number, because 88042405 - 29 = 88041893 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460860 + ... + 461050.

It is an arithmetic number, because the mean of its divisors is an integer number (2652480).

Almost surely, 288042405 is an apocalyptic number.

88042405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

88042405 is a deficient number, since it is larger than the sum of its proper divisors (39276635).

88042405 is a wasteful number, since it uses less digits than its factorization.

88042405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 88042405 is about 9383.0914415240. The cubic root of 88042405 is about 444.8674520014.

The spelling of 88042405 in words is "eighty-eight million, forty-two thousand, four hundred five".

Divisors: 1 5 11 17 29 55 85 145 187 191 289 319 493 935 955 1445 1595 2101 2465 3179 3247 5423 5539 8381 10505 15895 16235 27115 27695 35717 41905 55199 60929 92191 94163 178585 275995 304645 460955 470815 607189 1035793 1600771 3035945 5178965 8003855 17608481 88042405