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426352440 = 233541193449
BaseRepresentation
bin11001011010011…
…001111100111000
31002201020221121010
4121122121330320
51333121234230
6110150113520
713364636013
oct3132317470
91081227533
10426352440
111a9734998
12ba94b8a0
136a43a267
14408a437a
152766b9b0
hex19699f38

426352440 has 128 divisors (see below), whose sum is σ = 1319976000. Its totient is φ = 110100480.

The previous prime is 426352427. The next prime is 426352441. The reversal of 426352440 is 44253624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 426352398 and 426352407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426352441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949336 + ... + 949784.

Almost surely, 2426352440 is an apocalyptic number.

426352440 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 426352440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659988000).

426352440 is an abundant number, since it is smaller than the sum of its proper divisors (893623560).

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

426352440 is a wasteful number, since it uses less digits than its factorization.

426352440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 426352440 is about 20648.3035622784. The cubic root of 426352440 is about 752.6439660828.

The spelling of 426352440 in words is "four hundred twenty-six million, three hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 193 205 246 328 386 410 449 492 579 615 772 820 898 965 984 1158 1230 1347 1544 1640 1796 1930 2245 2316 2460 2694 2895 3592 3860 4490 4632 4920 5388 5790 6735 7720 7913 8980 10776 11580 13470 15826 17960 18409 23160 23739 26940 31652 36818 39565 47478 53880 55227 63304 73636 79130 86657 92045 94956 110454 118695 147272 158260 173314 184090 189912 220908 237390 259971 276135 316520 346628 368180 433285 441816 474780 519942 552270 693256 736360 866570 949560 1039884 1104540 1299855 1733140 2079768 2209080 2599710 3466280 3552937 5199420 7105874 10398840 10658811 14211748 17764685 21317622 28423496 35529370 42635244 53294055 71058740 85270488 106588110 142117480 213176220 426352440