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424642608 = 24331383911
BaseRepresentation
bin11001010011111…
…000100000110000
31002121001002011000
4121103320200300
51332202030413
6110045322000
713344255045
oct3123704060
91077032130
10424642608
111a8777305
12ba266300
1369c8bc20
144057b1cc
1527430073
hex194f8830

424642608 has 160 divisors (see below), whose sum is σ = 1329914880. Its totient is φ = 128943360.

The previous prime is 424642577. The next prime is 424642627. The reversal of 424642608 is 806246424.

It is a happy number.

424642608 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 42 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465673 + ... + 466583.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2424642608 is an apocalyptic number.

424642608 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 424642608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664957440).

424642608 is an abundant number, since it is smaller than the sum of its proper divisors (905272272).

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

424642608 is a wasteful number, since it uses less digits than its factorization.

424642608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 424642608 is about 20606.8582758265. The cubic root of 424642608 is about 751.6364906009.

The spelling of 424642608 in words is "four hundred twenty-four million, six hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 83 104 108 117 144 156 166 208 216 234 249 312 332 351 432 468 498 624 664 702 747 911 936 996 1079 1328 1404 1494 1822 1872 1992 2158 2241 2733 2808 2988 3237 3644 3984 4316 4482 5466 5616 5976 6474 7288 8199 8632 8964 9711 10932 11843 11952 12948 14576 16398 17264 17928 19422 21864 23686 24597 25896 29133 32796 35529 35856 38844 43728 47372 49194 51792 58266 65592 71058 75613 77688 94744 98388 106587 116532 131184 142116 151226 155376 189488 196776 213174 226839 233064 284232 302452 319761 393552 426348 453678 466128 568464 604904 639522 680517 852696 907356 982969 1209808 1279044 1361034 1705392 1814712 1965938 2041551 2558088 2722068 2948907 3629424 3931876 4083102 5116176 5444136 5897814 7863752 8166204 8846721 10888272 11795628 15727504 16332408 17693442 23591256 26540163 32664816 35386884 47182512 53080326 70773768 106160652 141547536 212321304 424642608