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424681056 = 2534592777
BaseRepresentation
bin11001010100000…
…001111001100000
31002121010000220000
4121110001321200
51332204243211
6110050220000
713344505122
oct3124017140
91077100800
10424681056
111a87a3188
12ba284600
1369ca3587
144058b212
152743b656
hex19501e60

424681056 has 120 divisors (see below), whose sum is σ = 1270601640. Its totient is φ = 139110912.

The previous prime is 424680983. The next prime is 424681057. The reversal of 424681056 is 650186424.

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

It is a self number, because there is not a number n which added to its sum of digits gives 424681056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424681057) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 151540 + ... + 154316.

It is an arithmetic number, because the mean of its divisors is an integer number (10588347).

Almost surely, 2424681056 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 424681056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635300820).

424681056 is an abundant number, since it is smaller than the sum of its proper divisors (845920584).

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

424681056 is a wasteful number, since it uses less digits than its factorization.

424681056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 424681056 is about 20607.7911480100. The cubic root of 424681056 is about 751.6591748119.

The spelling of 424681056 in words is "four hundred twenty-four million, six hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 288 324 354 432 472 531 648 708 864 944 1062 1296 1416 1593 1888 2124 2592 2777 2832 3186 4248 4779 5554 5664 6372 8331 8496 9558 11108 12744 16662 16992 19116 22216 24993 25488 33324 38232 44432 49986 50976 66648 74979 76464 88864 99972 133296 149958 152928 163843 199944 224937 266592 299916 327686 399888 449874 491529 599832 655372 799776 899748 983058 1199664 1310744 1474587 1799496 1966116 2399328 2621488 2949174 3598992 3932232 4423761 5242976 5898348 7197984 7864464 8847522 11796696 13271283 15728928 17695044 23593392 26542566 35390088 47186784 53085132 70780176 106170264 141560352 212340528 424681056