Search a number
-
+
424412604 = 2232711153107
BaseRepresentation
bin11001010011000…
…000010110111100
31002120121101122100
4121103000112330
51332122200404
6110040345100
713342306350
oct3123002674
91076541570
10424412604
111a862a520
12ba175190
1369c0b325
144051b460
15273d6d39
hex194c05bc

424412604 has 72 divisors (see below), whose sum is σ = 1337551488. Its totient is φ = 110236320.

The previous prime is 424412603. The next prime is 424412617. The reversal of 424412604 is 406214424.

It is a happy number.

424412604 is a `hidden beast` number, since 4 + 2 + 44 + 12 + 604 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424412603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73782 + ... + 79325.

It is an arithmetic number, because the mean of its divisors is an integer number (18577104).

Almost surely, 2424412604 is an apocalyptic number.

424412604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424412604 is an abundant number, since it is smaller than the sum of its proper divisors (913138884).

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

424412604 is a wasteful number, since it uses less digits than its factorization.

424412604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153135 (or 153130 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 424412604 is about 20601.2767565508. The cubic root of 424412604 is about 751.5007602884.

The spelling of 424412604 in words is "four hundred twenty-four million, four hundred twelve thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 153107 306214 459321 612428 918642 1071749 1377963 1684177 1837284 2143498 2755926 3215247 3368354 4286996 5052531 5511852 6430494 6736708 9645741 10105062 11789239 12860988 15157593 19291482 20210124 23578478 30315186 35367717 38582964 47156956 60630372 70735434 106103151 141470868 212206302 424412604