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90119008 = 2572913873
BaseRepresentation
bin1010101111100…
…01101101100000
320021120112001001
411113301231200
5141032302013
612535321344
72142666430
oct527615540
9207515031
1090119008
1146962821
1226220254
1315894175
14bd7c2c0
157da1ddd
hex55f1b60

90119008 has 48 divisors (see below), whose sum is σ = 209774880. Its totient is φ = 37287936.

The previous prime is 90118981. The next prime is 90119009. The reversal of 90119008 is 80091109.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90119009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441 + ... + 13432.

It is an arithmetic number, because the mean of its divisors is an integer number (4370310).

Almost surely, 290119008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90119008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104887440).

90119008 is an abundant number, since it is smaller than the sum of its proper divisors (119655872).

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

90119008 is a wasteful number, since it uses less digits than its factorization.

90119008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13919 (or 13911 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 90119008 is about 9493.1031807307. The cubic root of 90119008 is about 448.3379146985.

The spelling of 90119008 in words is "ninety million, one hundred nineteen thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 13873 27746 55492 97111 110984 194222 221968 388444 402317 443936 776888 804634 1553776 1609268 2816219 3107552 3218536 5632438 6437072 11264876 12874144 22529752 45059504 90119008