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423084576 = 25317416323
BaseRepresentation
bin11001001101111…
…100001000100000
31002111002220221010
4121031330020200
51331302201301
6105552100520
713325105505
oct3115741040
91074086833
10423084576
111a7902782
12b9834740
1369864a05
14402934ac
15272235d6
hex1937c220

423084576 has 96 divisors (see below), whose sum is σ = 1204797888. Its totient is φ = 129474560.

The previous prime is 423084539. The next prime is 423084581. The reversal of 423084576 is 675480324.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63751 + ... + 70073.

It is an arithmetic number, because the mean of its divisors is an integer number (12549978).

Almost surely, 2423084576 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 423084576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602398944).

423084576 is an abundant number, since it is smaller than the sum of its proper divisors (781713312).

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

423084576 is a wasteful number, since it uses less digits than its factorization.

423084576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 423084576 is about 20569.0198113571. The cubic root of 423084576 is about 750.7161018244.

It can be divided in two parts, 423084 and 576, that added together give a triangular number (423660 = T920).

The spelling of 423084576 in words is "four hundred twenty-three million, eighty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 68 82 96 102 123 136 164 204 246 272 328 408 492 544 656 697 816 984 1312 1394 1632 1968 2091 2788 3936 4182 5576 6323 8364 11152 12646 16728 18969 22304 25292 33456 37938 50584 66912 75876 101168 107491 151752 202336 214982 259243 303504 322473 429964 518486 607008 644946 777729 859928 1036972 1289892 1555458 1719856 2073944 2579784 3110916 3439712 4147888 4407131 5159568 6221832 8295776 8814262 10319136 12443664 13221393 17628524 24887328 26442786 35257048 52885572 70514096 105771144 141028192 211542288 423084576