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421232424 = 233294779163
BaseRepresentation
bin11001000110110…
…111111100101000
31002100121211020220
4121012313330220
51330313414144
6105444250040
713303262604
oct3106677450
91070554226
10421232424
111a6858178
12b90a0920
1369366972
143dd30504
1526ea9919
hex191b7f28

421232424 has 128 divisors (see below), whose sum is σ = 1133568000. Its totient is φ = 130201344.

The previous prime is 421232381. The next prime is 421232437. The reversal of 421232424 is 424232124.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 421232394 and 421232403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2584167 + ... + 2584329.

It is an arithmetic number, because the mean of its divisors is an integer number (8856000).

Almost surely, 2421232424 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 421232424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566784000).

421232424 is an abundant number, since it is smaller than the sum of its proper divisors (712335576).

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

421232424 is a wasteful number, since it uses less digits than its factorization.

421232424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 421232424 is about 20523.9475735054. The cubic root of 421232424 is about 749.6190207281.

Adding to 421232424 its reverse (424232124), we get a palindrome (845464548).

The spelling of 421232424 in words is "four hundred twenty-one million, two hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 79 87 94 116 141 158 163 174 188 232 237 282 316 326 348 376 474 489 564 632 652 696 948 978 1128 1304 1363 1896 1956 2291 2726 3713 3912 4089 4582 4727 5452 6873 7426 7661 8178 9164 9454 10904 11139 12877 13746 14181 14852 15322 16356 18328 18908 22278 22983 25754 27492 28362 29704 30644 32712 37816 38631 44556 45966 51508 54984 56724 61288 77262 89112 91932 103016 107677 113448 154524 183864 215354 222169 309048 323031 373433 430708 444338 605219 646062 666507 746866 861416 888676 1120299 1210438 1292124 1333014 1493732 1777352 1815657 2240598 2420876 2584248 2666028 2987464 3631314 4481196 4841752 5332056 7262628 8962392 14525256 17551351 35102702 52654053 70205404 105308106 140410808 210616212 421232424