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421040256 = 27371312049
BaseRepresentation
bin11001000110001…
…001000010000000
31002100021001122120
4121012021002000
51330241242011
6105440204240
713301532420
oct3106110200
91070231576
10421040256
111a673685a
12b9009680
13692ca360
143dcc0480
1526e6ca06
hex19189080

421040256 has 128 divisors (see below), whose sum is σ = 1376592000. Its totient is φ = 111034368.

The previous prime is 421040251. The next prime is 421040267. The reversal of 421040256 is 652040124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421040251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28920 + ... + 40968.

It is an arithmetic number, because the mean of its divisors is an integer number (10754625).

Almost surely, 2421040256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688296000).

421040256 is an abundant number, since it is smaller than the sum of its proper divisors (955551744).

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

421040256 is a wasteful number, since it uses less digits than its factorization.

421040256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12086 (or 12074 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 421040256 is about 20519.2654839300. The cubic root of 421040256 is about 749.5050102743.

The spelling of 421040256 in words is "four hundred twenty-one million, forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 12049 17472 24098 34944 36147 48196 72294 84343 96392 144588 156637 168686 192784 253029 289176 313274 337372 385568 469911 506058 578352 626548 674744 771136 939822 1012116 1096459 1156704 1253096 1349488 1542272 1879644 2024232 2192918 2313408 2506192 2698976 3289377 3759288 4048464 4385836 4626816 5012384 5397952 6578754 7518576 8096928 8771672 10024768 10795904 13157508 15037152 16193856 17543344 20049536 26315016 30074304 32387712 35086688 52630032 60148608 70173376 105260064 140346752 210520128 421040256