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90469440 = 2633537283
BaseRepresentation
bin1010110010001…
…11010001000000
320022020022202000
411121013101000
5141130010230
612551024000
72145656205
oct531072100
9208208660
1090469440
1147082036
122636b000
1315987819
14c02dcac
157e20b60
hex5647440

90469440 has 224 divisors, whose sum is σ = 328940160. Its totient is φ = 23390208.

The previous prime is 90469433. The next prime is 90469447. The reversal of 90469440 is 4496409.

It is an interprime number because it is at equal distance from previous prime (90469433) and next prime (90469447).

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

It is a junction number, because it is equal to n+sod(n) for n = 90469395 and 90469404.

It is not an unprimeable number, because it can be changed into a prime (90469447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319539 + ... + 319821.

Almost surely, 290469440 is an apocalyptic number.

90469440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164470080).

90469440 is an abundant number, since it is smaller than the sum of its proper divisors (238470720).

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

90469440 is a wasteful number, since it uses less digits than its factorization.

90469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 90469440 is about 9511.5424616620. The cubic root of 90469440 is about 448.9182907615.

It can be divided in two parts, 90469 and 440, that added together give a palindrome (90909).

The spelling of 90469440 in words is "ninety million, four hundred sixty-nine thousand, four hundred forty".