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424483104 = 25319409569
BaseRepresentation
bin11001010011010…
…001100100100000
31002120201222100110
4121103101210200
51332131424404
6110042051320
713343022033
oct3123214440
91076658313
10424483104
111a8678491
12ba1a9b40
1369c34446
144053901a
15273ecb89
hex194d1920

424483104 has 96 divisors (see below), whose sum is σ = 1177848000. Its totient is φ = 133484544.

The previous prime is 424483061. The next prime is 424483117. The reversal of 424483104 is 401384424.

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

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, 745732 + ... + 746300.

It is an arithmetic number, because the mean of its divisors is an integer number (12269250).

Almost surely, 2424483104 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 424483104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588924000).

424483104 is an abundant number, since it is smaller than the sum of its proper divisors (753364896).

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

424483104 is a wasteful number, since it uses less digits than its factorization.

424483104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 424483104 is about 20602.9877444996. The cubic root of 424483104 is about 751.5423690670.

The spelling of 424483104 in words is "four hundred twenty-four million, four hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 409 456 569 608 818 912 1138 1227 1636 1707 1824 2276 2454 3272 3414 4552 4908 6544 6828 7771 9104 9816 10811 13088 13656 15542 18208 19632 21622 23313 27312 31084 32433 39264 43244 46626 54624 62168 64866 86488 93252 124336 129732 172976 186504 232721 248672 259464 345952 373008 465442 518928 698163 746016 930884 1037856 1396326 1861768 2792652 3723536 4421699 5585304 7447072 8843398 11170608 13265097 17686796 22341216 26530194 35373592 53060388 70747184 106120776 141494368 212241552 424483104