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90250050 = 23521183659
BaseRepresentation
bin1010110000100…
…01101101000010
320021211011210110
411120101231002
5141101000200
612542212150
72144053452
oct530215502
9207734713
1090250050
1146a42220
1226284056
131590b9c7
14bdb3d62
157dcab50
hex5611b42

90250050 has 96 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 21582400.

The previous prime is 90250031. The next prime is 90250051. The reversal of 90250050 is 5005209.

It is a junction number, because it is equal to n+sod(n) for n = 90249999 and 90250026.

It is not an unprimeable number, because it can be changed into a prime (90250051) 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 47 ways as a sum of consecutive naturals, for example, 136621 + ... + 137279.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 290250050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90250050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

90250050 is an abundant number, since it is smaller than the sum of its proper divisors (157234110).

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

90250050 is a wasteful number, since it uses less digits than its factorization.

90250050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 90250050 is about 9500.0026315786. The cubic root of 90250050 is about 448.5551187589. Note that the first 3 decimals are identical.

Adding to 90250050 its reverse (5005209), we get a palindrome (95255259).

The spelling of 90250050 in words is "ninety million, two hundred fifty thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 83 110 150 165 166 249 275 330 415 498 550 659 825 830 913 1245 1318 1650 1826 1977 2075 2490 2739 3295 3954 4150 4565 5478 6225 6590 7249 9130 9885 12450 13695 14498 16475 19770 21747 22825 27390 32950 36245 43494 45650 49425 54697 68475 72490 98850 108735 109394 136950 164091 181225 217470 273485 328182 362450 543675 546970 601667 820455 1087350 1203334 1367425 1640910 1805001 2734850 3008335 3610002 4102275 6016670 8204550 9025005 15041675 18050010 30083350 45125025 90250050