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421124352 = 2831179631
BaseRepresentation
bin11001000110011…
…101100100000000
31002100102100000020
4121012131210000
51330301434402
6105442053440
713302332535
oct3106354400
91070370006
10421124352
111a6793a60
12b904a280
136932970c
143dd02d8c
1526e878bc
hex1919d900

421124352 has 144 divisors (see below), whose sum is σ = 1240135680. Its totient is φ = 125798400.

The previous prime is 421124329. The next prime is 421124369. The reversal of 421124352 is 253421124.

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

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, 667077 + ... + 667707.

Almost surely, 2421124352 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 421124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620067840).

421124352 is an abundant number, since it is smaller than the sum of its proper divisors (819011328).

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

421124352 is a wasteful number, since it uses less digits than its factorization.

421124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 726 counting only the distinct ones).

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

The square root of 421124352 is about 20521.3145777750. The cubic root of 421124352 is about 749.5549074647.

Adding to 421124352 its reverse (253421124), we get a palindrome (674545476).

It can be divided in two parts, 42112 and 4352, that added together give a palindrome (46464).

The spelling of 421124352 in words is "four hundred twenty-one million, one hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 128 132 158 176 192 237 256 264 316 352 384 474 528 631 632 704 768 869 948 1056 1262 1264 1408 1738 1893 1896 2112 2524 2528 2607 2816 3476 3786 3792 4224 5048 5056 5214 6941 6952 7572 7584 8448 10096 10112 10428 13882 13904 15144 15168 20192 20224 20823 20856 27764 27808 30288 30336 40384 41646 41712 49849 55528 55616 60576 60672 80768 83292 83424 99698 111056 111232 121152 149547 161536 166584 166848 199396 222112 222464 242304 299094 333168 333696 398792 444224 484608 548339 598188 666336 667392 797584 888448 1096678 1196376 1332672 1595168 1645017 1776896 2193356 2392752 2665344 3190336 3290034 4386712 4785504 5330688 6380672 6580068 8773424 9571008 12761344 13160136 17546848 19142016 26320272 35093696 38284032 52640544 70187392 105281088 140374784 210562176 421124352