Search a number
-
+
424152432 = 24321132213
BaseRepresentation
bin11001010010000…
…000110101110000
31002120010011202100
4121102000311300
51332040334212
6110031020400
713340144004
oct3122006560
91076104670
10424152432
111a8472000
12ba06a700
1369b49a92
1440490704
1527384bdc
hex19480d70

424152432 has 120 divisors (see below), whose sum is σ = 1306242288. Its totient is φ = 128472960.

The previous prime is 424152419. The next prime is 424152457. The reversal of 424152432 is 234251424.

424152432 is a `hidden beast` number, since 4 + 2 + 415 + 243 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 424152396 and 424152405.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 190558 + ... + 192770.

Almost surely, 2424152432 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 424152432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653121144).

424152432 is an abundant number, since it is smaller than the sum of its proper divisors (882089856).

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

424152432 is a wasteful number, since it uses less digits than its factorization.

424152432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2229 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 424152432 is about 20594.9613255281. The cubic root of 424152432 is about 751.3471680687.

The spelling of 424152432 in words is "four hundred twenty-four million, one hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1331 1452 1584 1936 2178 2213 2662 2904 3993 4356 4426 5324 5808 6639 7986 8712 8852 10648 11979 13278 15972 17424 17704 19917 21296 23958 24343 26556 31944 35408 39834 47916 48686 53112 63888 73029 79668 95832 97372 106224 146058 159336 191664 194744 219087 267773 292116 318672 389488 438174 535546 584232 803319 876348 1071092 1168464 1606638 1752696 2142184 2409957 2945503 3213276 3505392 4284368 4819914 5891006 6426552 8836509 9639828 11782012 12853104 17673018 19279656 23564024 26509527 35346036 38559312 47128048 53019054 70692072 106038108 141384144 212076216 424152432