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426674040 = 233513479571
BaseRepresentation
bin11001011011101…
…000011101111000
31002201212021202020
4121123220131320
51333212032130
6110201034440
713400445432
oct3133503570
91081767666
10426674040
111a9934581
12baa85a20
136a520760
1440949652
15276d1e10
hex196e8778

426674040 has 128 divisors (see below), whose sum is σ = 1383782400. Its totient is φ = 104624640.

The previous prime is 426674029. The next prime is 426674057. The reversal of 426674040 is 40476624.

It is a junction number, because it is equal to n+sod(n) for n = 426673992 and 426674010.

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, 746955 + ... + 747525.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2426674040 is an apocalyptic number.

426674040 is a gapful number since it is divisible by the number (40) 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 426674040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691891200).

426674040 is an abundant number, since it is smaller than the sum of its proper divisors (957108360).

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

426674040 is a wasteful number, since it uses less digits than its factorization.

426674040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 426674040 is about 20656.0896589843. The cubic root of 426674040 is about 752.8331596875.

The spelling of 426674040 in words is "four hundred twenty-six million, six hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 479 520 571 780 958 1142 1437 1560 1713 1916 2284 2395 2855 2874 3426 3832 4568 4790 5710 5748 6227 6852 7185 7423 8565 9580 11420 11496 12454 13704 14370 14846 17130 18681 19160 22269 22840 24908 28740 29692 31135 34260 37115 37362 44538 49816 57480 59384 62270 68520 74230 74724 89076 93405 111345 124540 148460 149448 178152 186810 222690 249080 273509 296920 373620 445380 547018 747240 820527 890760 1094036 1367545 1641054 2188072 2735090 3282108 3555617 4102635 5470180 6564216 7111234 8205270 10666851 10940360 14222468 16410540 17778085 21333702 28444936 32821080 35556170 42667404 53334255 71112340 85334808 106668510 142224680 213337020 426674040