Search a number
-
+
90244872 = 23321253401
BaseRepresentation
bin1010110000100…
…00011100001000
320021210220200200
411120100130020
5141100313442
612542132200
72144032404
oct530203410
9207726620
1090244872
1146a39343
1226281060
1315909543
14bdb2104
157dc934c
hex5610708

90244872 has 24 divisors (see below), whose sum is σ = 244413390. Its totient is φ = 30081600.

The previous prime is 90244871. The next prime is 90244877. The reversal of 90244872 is 27844209.

It can be written as a sum of positive squares in only one way, i.e., 66683556 + 23561316 = 8166^2 + 4854^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×902448723 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90244871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 626629 + ... + 626772.

Almost surely, 290244872 is an apocalyptic number.

It is an amenable number.

90244872 is an abundant number, since it is smaller than the sum of its proper divisors (154168518).

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

90244872 is a wasteful number, since it uses less digits than its factorization.

90244872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253413 (or 1253406 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 90244872 is about 9499.7301014292. The cubic root of 90244872 is about 448.5465401382.

The spelling of 90244872 in words is "ninety million, two hundred forty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1253401 2506802 3760203 5013604 7520406 10027208 11280609 15040812 22561218 30081624 45122436 90244872