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90950850 = 23452171321
BaseRepresentation
bin1010110101111…
…00110011000010
320100010210010000
411122330303002
5141240411400
613005220430
72153032554
oct532746302
9210123100
1090950850
11473807a1
1226561716
1315ac5993
14c1174d4
157eb8600
hex56bccc2

90950850 has 120 divisors (see below), whose sum is σ = 267776388. Its totient is φ = 22809600.

The previous prime is 90950843. The next prime is 90950879. The reversal of 90950850 is 5805909.

It can be written as a sum of positive squares in 6 ways, for example, as 68112009 + 22838841 = 8253^2 + 4779^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68190 + ... + 69510.

Almost surely, 290950850 is an apocalyptic number.

90950850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90950850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133888194).

90950850 is an abundant number, since it is smaller than the sum of its proper divisors (176825538).

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

90950850 is a wasteful number, since it uses less digits than its factorization.

90950850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 90950850 is about 9536.8155062369. The cubic root of 90950850 is about 449.7131505219.

The spelling of 90950850 in words is "ninety million, nine hundred fifty thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 135 150 153 162 170 225 255 270 306 405 425 450 459 510 675 765 810 850 918 1275 1321 1350 1377 1530 2025 2295 2550 2642 2754 3825 3963 4050 4590 6605 6885 7650 7926 11475 11889 13210 13770 19815 22457 22950 23778 33025 34425 35667 39630 44914 59445 66050 67371 68850 71334 99075 107001 112285 118890 134742 178335 198150 202113 214002 224570 297225 336855 356670 404226 535005 561425 594450 606339 673710 891675 1010565 1070010 1122850 1212678 1684275 1783350 1819017 2021130 2675025 3031695 3368550 3638034 5052825 5350050 6063390 9095085 10105650 15158475 18190170 30316950 45475425 90950850