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5226000 = 243531367
BaseRepresentation
bin10011111011111000010000
3100211111201120
4103323320100
52314213000
6304002240
762264103
oct23737020
910744646
105226000
112a4a40a
121900380
13110c910
149a073a
156d36a0
hex4fbe10

5226000 has 160 divisors (see below), whose sum is σ = 18415488. Its totient is φ = 1267200.

The previous prime is 5225999. The next prime is 5226017. The reversal of 5226000 is 6225.

It is a super-2 number, since 2×52260002 = 54622152000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77967 + ... + 78033.

Almost surely, 25226000 is an apocalyptic number.

5226000 is a gapful number since it is divisible by the number (50) 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 5226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207744).

5226000 is an abundant number, since it is smaller than the sum of its proper divisors (13189488).

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

5226000 is a wasteful number, since it uses less digits than its factorization.

5226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5226000 is about 2286.0446189871. The cubic root of 5226000 is about 173.5360875250.

The spelling of 5226000 in words is "five million, two hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 67 75 78 80 100 104 120 125 130 134 150 156 195 200 201 208 240 250 260 268 300 312 325 335 375 390 400 402 500 520 536 600 624 650 670 750 780 804 871 975 1000 1005 1040 1072 1200 1300 1340 1500 1560 1608 1625 1675 1742 1950 2000 2010 2600 2613 2680 3000 3120 3216 3250 3350 3484 3900 4020 4355 4875 5025 5200 5226 5360 6000 6500 6700 6968 7800 8040 8375 8710 9750 10050 10452 13000 13065 13400 13936 15600 16080 16750 17420 19500 20100 20904 21775 25125 26000 26130 26800 33500 34840 39000 40200 41808 43550 50250 52260 65325 67000 69680 78000 80400 87100 100500 104520 108875 130650 134000 174200 201000 209040 217750 261300 326625 348400 402000 435500 522600 653250 871000 1045200 1306500 1742000 2613000 5226000