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1484612080 = 245729113809
BaseRepresentation
bin101100001111101…
…0110000111110000
310211110120002220121
41120133112013300
511020030041310
6403152220024
751534665050
oct13037260760
93743502817
101484612080
116a2030036
1235523a614
131a87651b3
14101259560
158a50a0da
hex587d61f0

1484612080 has 160 divisors (see below), whose sum is σ = 4122057600. Its totient is φ = 486506496.

The previous prime is 1484612047. The next prime is 1484612081. The reversal of 1484612080 is 802164841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1484612081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1834716 + ... + 1835524.

It is an arithmetic number, because the mean of its divisors is an integer number (25762860).

Almost surely, 21484612080 is an apocalyptic number.

1484612080 is a gapful number since it is divisible by the number (10) 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 1484612080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061028800).

1484612080 is an abundant number, since it is smaller than the sum of its proper divisors (2637445520).

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

1484612080 is a wasteful number, since it uses less digits than its factorization.

1484612080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 1484612080 is about 38530.6641520750. The cubic root of 1484612080 is about 1140.7863867271.

The spelling of 1484612080 in words is "one billion, four hundred eighty-four million, six hundred twelve thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 113 116 140 145 203 226 232 280 290 406 452 464 560 565 580 791 809 812 904 1015 1130 1160 1582 1618 1624 1808 2030 2260 2320 3164 3236 3248 3277 3955 4045 4060 4520 5663 6328 6472 6554 7910 8090 8120 9040 11326 12656 12944 13108 15820 16180 16240 16385 22652 22939 23461 26216 28315 31640 32360 32770 45304 45878 46922 52432 56630 63280 64720 65540 90608 91417 91756 93844 113260 114695 117305 131080 164227 182834 183512 187688 226520 229390 234610 262160 328454 365668 367024 375376 453040 457085 458780 469220 639919 656908 731336 821135 914170 917560 938440 1279838 1313816 1462672 1642270 1828340 1835120 1876880 2559676 2627632 2651093 3199595 3284540 3656680 5119352 5302186 6399190 6569080 7313360 10238704 10604372 12798380 13138160 13255465 18557651 21208744 25596760 26510930 37115302 42417488 51193520 53021860 74230604 92788255 106043720 148461208 185576510 212087440 296922416 371153020 742306040 1484612080