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424110432 = 25323401479
BaseRepresentation
bin11001010001110…
…110100101100000
31002120001001010210
4121101312211200
51332033013212
6110030054120
713336610364
oct3121664540
91076031123
10424110432
111a8443499
12ba04a340
1369b33925
144047d2a4
152737753c
hex19476960

424110432 has 96 divisors (see below), whose sum is σ = 1167022080. Its totient is φ = 134604800.

The previous prime is 424110403. The next prime is 424110451. The reversal of 424110432 is 234011424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 424110399 and 424110408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885169 + ... + 885647.

It is an arithmetic number, because the mean of its divisors is an integer number (12156480).

Almost surely, 2424110432 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 424110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583511040).

424110432 is an abundant number, since it is smaller than the sum of its proper divisors (742911648).

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

424110432 is a wasteful number, since it uses less digits than its factorization.

424110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 424110432 is about 20593.9416334028. The cubic root of 424110432 is about 751.3223675330.

Adding to 424110432 its reverse (234011424), we get a palindrome (658121856).

The spelling of 424110432 in words is "four hundred twenty-four million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 401 479 552 736 802 958 1104 1203 1437 1604 1916 2208 2406 2874 3208 3832 4812 5748 6416 7664 9223 9624 11017 11496 12832 15328 18446 19248 22034 22992 27669 33051 36892 38496 44068 45984 55338 66102 73784 88136 110676 132204 147568 176272 192079 221352 264408 295136 352544 384158 442704 528816 576237 768316 885408 1057632 1152474 1536632 2304948 3073264 4417817 4609896 6146528 8835634 9219792 13253451 17671268 18439584 26506902 35342536 53013804 70685072 106027608 141370144 212055216 424110432