Search a number
-
+
90046881 = 3210005209
BaseRepresentation
bin1010101111000…
…00000110100001
320021102212002200
411113200012201
5141023000011
612534003413
72142246231
oct527400641
9207385080
1090046881
1146913611
12261a6569
131586a3a2
14bd5dcc1
157d8a856
hex55e01a1

90046881 has 6 divisors (see below), whose sum is σ = 130067730. Its totient is φ = 60031248.

The previous prime is 90046867. The next prime is 90046897. The reversal of 90046881 is 18864009.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 76475025 + 13571856 = 8745^2 + 3684^2 .

It is not a de Polignac number, because 90046881 - 214 = 90030497 is a prime.

It is a super-2 number, since 2×900468812 = 16216881555656322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90046981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5002596 + ... + 5002613.

It is an arithmetic number, because the mean of its divisors is an integer number (21677955).

Almost surely, 290046881 is an apocalyptic number.

It is an amenable number.

90046881 is a deficient number, since it is larger than the sum of its proper divisors (40020849).

90046881 is a wasteful number, since it uses less digits than its factorization.

90046881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005215 (or 10005212 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 90046881 is about 9489.3035044728. The cubic root of 90046881 is about 448.2182732733.

The spelling of 90046881 in words is "ninety million, forty-six thousand, eight hundred eighty-one".

Divisors: 1 3 9 10005209 30015627 90046881