Search a number
-
+
488396640 = 25356011693
BaseRepresentation
bin11101000111000…
…101011101100000
31021001000010020110
4131013011131200
52000012143030
6120244011320
715050205624
oct3507053540
91231003213
10488396640
11230761696
12117690b40
137a2517c4
1448c15184
152cd251b0
hex1d1c5760

488396640 has 96 divisors (see below), whose sum is σ = 1541919456. Its totient is φ = 129945600.

The previous prime is 488396639. The next prime is 488396641. The reversal of 488396640 is 46693884.

It is an interprime number because it is at equal distance from previous prime (488396639) and next prime (488396641).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 488396640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488396641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287634 + ... + 289326.

It is an arithmetic number, because the mean of its divisors is an integer number (16061661).

Almost surely, 2488396640 is an apocalyptic number.

488396640 is a gapful number since it is divisible by the number (40) 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 488396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770959728).

488396640 is an abundant number, since it is smaller than the sum of its proper divisors (1053522816).

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

488396640 is a wasteful number, since it uses less digits than its factorization.

488396640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 488396640 is about 22099.6977354895. The cubic root of 488396640 is about 787.5126810757.

The spelling of 488396640 in words is "four hundred eighty-eight million, three hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 601 1202 1693 1803 2404 3005 3386 3606 4808 5079 6010 6772 7212 8465 9015 9616 10158 12020 13544 14424 16930 18030 19232 20316 24040 25395 27088 28848 33860 36060 40632 48080 50790 54176 57696 67720 72120 81264 96160 101580 135440 144240 162528 203160 270880 288480 406320 812640 1017493 2034986 3052479 4069972 5087465 6104958 8139944 10174930 12209916 15262395 16279888 20349860 24419832 30524790 32559776 40699720 48839664 61049580 81399440 97679328 122099160 162798880 244198320 488396640