Search a number
-
+
426265840 = 245711135323
BaseRepresentation
bin11001011010000…
…100110011110000
31002201002112210201
4121122010303300
51333111001330
6110144204544
713364125360
oct3132046360
91081075721
10426265840
111a9685920
12ba909754
136a409a10
14408809a0
1527650eca
hex19684cf0

426265840 has 160 divisors (see below), whose sum is σ = 1330914816. Its totient is φ = 122618880.

The previous prime is 426265823. The next prime is 426265843. The reversal of 426265840 is 48562624.

It is a self number, because there is not a number n which added to its sum of digits gives 426265840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426265843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77419 + ... + 82741.

Almost surely, 2426265840 is an apocalyptic number.

426265840 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 426265840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665457408).

426265840 is an abundant number, since it is smaller than the sum of its proper divisors (904648976).

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

426265840 is a wasteful number, since it uses less digits than its factorization.

426265840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 426265840 is about 20646.2064312067. The cubic root of 426265840 is about 752.5930040345.

The spelling of 426265840 in words is "four hundred twenty-six million, two hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5323 5720 6160 7280 8008 10010 10646 11440 16016 20020 21292 26615 37261 40040 42584 53230 58553 69199 74522 80080 85168 106460 117106 138398 149044 186305 212920 234212 276796 292765 298088 345995 372610 409871 425840 468424 484393 553592 585530 596176 691990 745220 761189 819742 936848 968786 1107184 1171060 1383980 1490440 1522378 1639484 1937572 2049355 2342120 2421965 2767960 2980880 3044756 3278968 3805945 3875144 4098710 4684240 4843930 5328323 5535920 6089512 6557936 7611890 7750288 8197420 9687860 10656646 12179024 15223780 16394840 19375720 21313292 26641615 30447560 32789680 38751440 42626584 53283230 60895120 85253168 106566460 213132920 426265840