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421505424 = 24331989577
BaseRepresentation
bin11001000111111…
…010100110010000
31002101010200202000
4121013322212100
51330401133144
6105454154000
713305510534
oct3107724620
91071120660
10421505424
111a6a2429a
12b91b2900
1369430cc2
143dda1bc4
1527010769
hex191fa990

421505424 has 160 divisors (see below), whose sum is σ = 1290096000. Its totient is φ = 131383296.

The previous prime is 421505423. The next prime is 421505437. The reversal of 421505424 is 424505124.

It is a super-2 number, since 2×4215054242 = 355333644922839552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (421505423) 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, 730224 + ... + 730800.

It is an arithmetic number, because the mean of its divisors is an integer number (8063100).

Almost surely, 2421505424 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 421505424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645048000).

421505424 is an abundant number, since it is smaller than the sum of its proper divisors (868590576).

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

421505424 is a wasteful number, since it uses less digits than its factorization.

421505424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 421505424 is about 20530.5972635966. The cubic root of 421505424 is about 749.7809280162.

It can be divided in two parts, 42150 and 5424, that added together give a palindrome (47574).

The spelling of 421505424 in words is "four hundred twenty-one million, five hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 89 108 114 144 152 171 178 216 228 267 304 342 356 432 456 513 534 577 684 712 801 912 1026 1068 1154 1368 1424 1602 1691 1731 2052 2136 2308 2403 2736 3204 3382 3462 4104 4272 4616 4806 5073 5193 6408 6764 6924 8208 9232 9612 10146 10386 10963 12816 13528 13848 15219 15579 19224 20292 20772 21926 27056 27696 30438 31158 32889 38448 40584 41544 43852 45657 51353 60876 62316 65778 81168 83088 87704 91314 98667 102706 121752 124632 131556 154059 175408 182628 197334 205412 243504 249264 263112 296001 308118 365256 394668 410824 462177 526224 592002 616236 730512 789336 821648 924354 975707 1184004 1232472 1386531 1578672 1848708 1951414 2368008 2464944 2773062 2927121 3697416 3902828 4736016 5546124 5854242 7394832 7805656 8781363 11092248 11708484 15611312 17562726 22184496 23416968 26344089 35125452 46833936 52688178 70250904 105376356 140501808 210752712 421505424