Search a number
-
+
482974080 = 27351714797
BaseRepresentation
bin11100110010011…
…001100110000000
31020122210121212220
4130302121212000
51442120132310
6115531451040
714653132461
oct3462314600
91218717786
10482974080
11228698636
121158b6a80
13790a35a4
1448202d68
152c603670
hex1cc99980

482974080 has 128 divisors (see below), whose sum is σ = 1630147680. Its totient is φ = 121208832.

The previous prime is 482974073. The next prime is 482974081. The reversal of 482974080 is 80479284.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482974081) 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, 25242 + ... + 40038.

Almost surely, 2482974080 is an apocalyptic number.

482974080 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 482974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815073840).

482974080 is an abundant number, since it is smaller than the sum of its proper divisors (1147173600).

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

482974080 is a wasteful number, since it uses less digits than its factorization.

482974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14836 (or 14824 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 482974080 is about 21976.6712675055. The cubic root of 482974080 is about 784.5873011567.

The spelling of 482974080 in words is "four hundred eighty-two million, nine hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 14797 16320 29594 32640 44391 59188 73985 88782 118376 147970 177564 221955 236752 251549 295940 355128 443910 473504 503098 591880 710256 754647 887820 947008 1006196 1183760 1257745 1420512 1509294 1775640 1894016 2012392 2367520 2515490 2841024 3018588 3551280 3773235 4024784 4735040 5030980 5682048 6037176 7102560 7546470 8049568 9470080 10061960 12074352 14205120 15092940 16099136 20123920 24148704 28410240 30185880 32198272 40247840 48297408 60371760 80495680 96594816 120743520 160991360 241487040 482974080