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90498450 = 23527791091
BaseRepresentation
bin1010110010011…
…10010110010010
320022021210112110
411121032112102
5141131422300
612551410150
72146136610
oct531162622
9208253473
1090498450
11470a1909
1226383956
1315997aa3
14c03a6b0
157e29550
hex564e592

90498450 has 96 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 20404800.

The previous prime is 90498437. The next prime is 90498461. The reversal of 90498450 is 5489409.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90498399 and 90498408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82405 + ... + 83495.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 290498450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90498450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

90498450 is an abundant number, since it is smaller than the sum of its proper divisors (169484910).

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

90498450 is a wasteful number, since it uses less digits than its factorization.

90498450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 90498450 is about 9513.0673286801. The cubic root of 90498450 is about 448.9662691281.

The spelling of 90498450 in words is "ninety million, four hundred ninety-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 79 105 150 158 175 210 237 350 395 474 525 553 790 1050 1091 1106 1185 1659 1975 2182 2370 2765 3273 3318 3950 5455 5530 5925 6546 7637 8295 10910 11850 13825 15274 16365 16590 22911 27275 27650 32730 38185 41475 45822 54550 76370 81825 82950 86189 114555 163650 172378 190925 229110 258567 381850 430945 517134 572775 603323 861890 1145550 1206646 1292835 1809969 2154725 2585670 3016615 3619938 4309450 6033230 6464175 9049845 12928350 15083075 18099690 30166150 45249225 90498450