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421868736 = 2634174787
BaseRepresentation
bin11001001001010…
…011010011000000
31002101211011010000
4121021103103000
51330444244421
6105510040000
713311553002
oct3111232300
91071734100
10421868736
111a7152253
12b9349000
136952a493
1440058372
1527083226
hex192534c0

421868736 has 140 divisors (see below), whose sum is σ = 1324389528. Its totient is φ = 132323328.

The previous prime is 421868729. The next prime is 421868747. The reversal of 421868736 is 637868124.

It is a junction number, because it is equal to n+sod(n) for n = 421868691 and 421868700.

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 19 ways as a sum of consecutive naturals, for example, 85735 + ... + 90521.

Almost surely, 2421868736 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 421868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662194764).

421868736 is an abundant number, since it is smaller than the sum of its proper divisors (902520792).

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

421868736 is a wasteful number, since it uses less digits than its factorization.

421868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4809 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 421868736 is about 20539.4434199177. The cubic root of 421868736 is about 749.9962879816.

The spelling of 421868736 in words is "four hundred twenty-one million, eight hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4787 4896 5184 5508 7344 9574 9792 11016 14361 14688 19148 22032 28722 29376 38296 43083 44064 57444 76592 81379 86166 88128 114888 129249 153184 162758 172332 229776 244137 258498 306368 325516 344664 387747 459552 488274 516996 651032 689328 732411 775494 919104 976548 1033992 1302064 1378656 1464822 1550988 1953096 2067984 2197233 2604128 2757312 2929644 3101976 3906192 4135968 4394466 5208256 5859288 6203952 6591699 7812384 8271936 8788932 11718576 12407904 13183398 15624768 17577864 23437152 24815808 26366796 35155728 46874304 52733592 70311456 105467184 140622912 210934368 421868736