Search a number
-
+
426341520 = 243251153831
BaseRepresentation
bin11001011010010…
…111010010010000
31002201020101121200
4121122113102100
51333120412040
6110145551200
713364562123
oct3132272220
91081211550
10426341520
111a9727770
12ba945500
136a4352b7
14408a03ba
1527668630
hex19697490

426341520 has 120 divisors (see below), whose sum is σ = 1561989312. Its totient is φ = 103353600.

The previous prime is 426341479. The next prime is 426341533. The reversal of 426341520 is 25143624.

426341520 is a `hidden beast` number, since 4 + 2 + 634 + 1 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18996 + ... + 34835.

Almost surely, 2426341520 is an apocalyptic number.

426341520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426341520 is an abundant number, since it is smaller than the sum of its proper divisors (1135647792).

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

426341520 is a wasteful number, since it uses less digits than its factorization.

426341520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53861 (or 53852 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 426341520 is about 20648.0391320823. The cubic root of 426341520 is about 752.6375403018.

The spelling of 426341520 in words is "four hundred twenty-six million, three hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 53831 107662 161493 215324 269155 322986 430648 484479 538310 592141 645972 807465 861296 968958 1076620 1184282 1291944 1614930 1776423 1937916 2153240 2368564 2422395 2583888 2960705 3229860 3552846 3875832 4306480 4737128 4844790 5329269 5921410 6459720 7105692 7751664 8882115 9474256 9689580 10658538 11842820 12919440 14211384 17764230 19379160 21317076 23685640 26646345 28422768 35528460 38758320 42634152 47371280 53292690 71056920 85268304 106585380 142113840 213170760 426341520