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424251432 = 233411531123
BaseRepresentation
bin11001010010011…
…001000000101000
31002120022012120000
4121102121000220
51332102021212
6110033103000
713341035433
oct3122310050
91076265500
10424251432
111a852a420
12ba0b7a60
1369b82b67
14404b881a
15273a41dc
hex19499028

424251432 has 160 divisors (see below), whose sum is σ = 1321958880. Its totient is φ = 126023040.

The previous prime is 424251431. The next prime is 424251433. The reversal of 424251432 is 234152424.

It is an interprime number because it is at equal distance from previous prime (424251431) and next prime (424251433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 424251396 and 424251405.

It is not an unprimeable number, because it can be changed into a prime (424251431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 377223 + ... + 378345.

It is an arithmetic number, because the mean of its divisors is an integer number (8262243).

Almost surely, 2424251432 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 424251432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660979440).

424251432 is an abundant number, since it is smaller than the sum of its proper divisors (897707448).

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

424251432 is a wasteful number, since it uses less digits than its factorization.

424251432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1192 counting only the distinct ones).

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

The square root of 424251432 is about 20597.3646858039. The cubic root of 424251432 is about 751.4056199975.

The spelling of 424251432 in words is "four hundred twenty-four million, two hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 53 54 66 72 81 88 99 106 108 132 159 162 198 212 216 264 297 318 324 396 424 477 583 594 636 648 792 891 954 1123 1166 1188 1272 1431 1749 1782 1908 2246 2332 2376 2862 3369 3498 3564 3816 4293 4492 4664 5247 5724 6738 6996 7128 8586 8984 10107 10494 11448 12353 13476 13992 15741 17172 20214 20988 24706 26952 30321 31482 34344 37059 40428 41976 47223 49412 59519 60642 62964 74118 80856 90963 94446 98824 111177 119038 121284 125928 148236 178557 181926 188892 222354 238076 242568 296472 333531 357114 363852 377784 444708 476152 535671 654709 667062 714228 727704 889416 1000593 1071342 1309418 1334124 1428456 1607013 1964127 2001186 2142684 2618836 2668248 3214026 3928254 4002372 4285368 4821039 5237672 5892381 6428052 7856508 8004744 9642078 11784762 12856104 15713016 17677143 19284156 23569524 35354286 38568312 47139048 53031429 70708572 106062858 141417144 212125716 424251432