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423006528 = 26372910853
BaseRepresentation
bin11001001101101…
…001000101000000
31002110221221212110
4121031221011000
51331242202103
6105550255320
713324332120
oct3115510500
91073857773
10423006528
111a785a07a
12b97b7540
1369838329
1440272c80
152720a403
hex19369140

423006528 has 112 divisors (see below), whose sum is σ = 1323319680. Its totient is φ = 116680704.

The previous prime is 423006511. The next prime is 423006541. The reversal of 423006528 is 825600324.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4230065282 = 357869045461229568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423006495 and 423006504.

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 15 ways as a sum of consecutive naturals, for example, 33550 + ... + 44402.

Almost surely, 2423006528 is an apocalyptic number.

423006528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661659840).

423006528 is an abundant number, since it is smaller than the sum of its proper divisors (900313152).

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

423006528 is a wasteful number, since it uses less digits than its factorization.

423006528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904 (or 10894 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 423006528 is about 20567.1225017016. The cubic root of 423006528 is about 750.6699365130.

It can be divided in two parts, 42300 and 6528, that added together give a triangular number (48828 = T312).

The spelling of 423006528 in words is "four hundred twenty-three million, six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6496 9744 10853 12992 19488 21706 32559 38976 43412 65118 75971 86824 130236 151942 173648 227913 260472 303884 314737 347296 455826 520944 607768 629474 694592 911652 944211 1041888 1215536 1258948 1823304 1888422 2083776 2203159 2431072 2517896 3646608 3776844 4406318 4862144 5035792 6609477 7293216 7553688 8812636 10071584 13218954 14586432 15107376 17625272 20143168 26437908 30214752 35250544 52875816 60429504 70501088 105751632 141002176 211503264 423006528