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426435072 = 2937172333
BaseRepresentation
bin11001011010101…
…110001000000000
31002201102010221120
4121122232020000
51333131410242
6110151552240
713365431640
oct3132561000
91081363846
10426435072
111a9790a88
12ba98b680
136a468a5b
14408c6520
15276861ec
hex196ae200

426435072 has 160 divisors (see below), whose sum is σ = 1375304832. Its totient is φ = 114622464.

The previous prime is 426435059. The next prime is 426435083. The reversal of 426435072 is 270534624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181618 + ... + 183950.

Almost surely, 2426435072 is an apocalyptic number.

426435072 is a gapful number since it is divisible by the number (42) 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 426435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687652416).

426435072 is an abundant number, since it is smaller than the sum of its proper divisors (948869760).

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

426435072 is a wasteful number, since it uses less digits than its factorization.

426435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 426435072 is about 20650.3044045360. The cubic root of 426435072 is about 752.6925866237.

Adding to 426435072 its reverse (270534624), we get a palindrome (696969696).

The spelling of 426435072 in words is "four hundred twenty-six million, four hundred thirty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 512 544 672 714 768 816 896 952 1088 1344 1428 1536 1632 1792 1904 2176 2333 2688 2856 3264 3584 3808 4352 4666 5376 5712 6528 6999 7616 8704 9332 10752 11424 13056 13998 15232 16331 18664 22848 26112 27996 30464 32662 37328 39661 45696 48993 55992 60928 65324 74656 79322 91392 97986 111984 118983 130648 149312 158644 182784 195972 223968 237966 261296 277627 298624 317288 391944 447936 475932 522592 555254 597248 634576 783888 832881 895872 951864 1045184 1110508 1194496 1269152 1567776 1665762 1791744 1903728 2090368 2221016 2538304 3135552 3331524 3583488 3807456 4180736 4442032 5076608 6271104 6663048 7614912 8361472 8884064 10153216 12542208 13326096 15229824 17768128 20306432 25084416 26652192 30459648 35536256 53304384 60919296 71072512 106608768 142145024 213217536 426435072