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483294672 = 243271134243
BaseRepresentation
bin11100110011100…
…111110111010000
31020200101220122200
4130303213313100
51442210412142
6115542403200
714655636240
oct3463476720
91220356580
10483294672
11228897493
12115a30500
13791864a3
1448287b20
152c66864c
hex1cce7dd0

483294672 has 120 divisors (see below), whose sum is σ = 1559822784. Its totient is φ = 136829952.

The previous prime is 483294667. The next prime is 483294689. The reversal of 483294672 is 276492384.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111783 + ... + 116025.

Almost surely, 2483294672 is an apocalyptic number.

483294672 is a gapful number since it is divisible by the number (42) 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 483294672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779911392).

483294672 is an abundant number, since it is smaller than the sum of its proper divisors (1076528112).

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

483294672 is a wasteful number, since it uses less digits than its factorization.

483294672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4368 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 483294672 is about 21983.9639737696. The cubic root of 483294672 is about 784.7608624224.

The spelling of 483294672 in words is "four hundred eighty-three million, two hundred ninety-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 226 252 336 339 452 504 678 791 904 1008 1017 1356 1582 1808 2034 2373 2712 3164 4068 4243 4746 5424 6328 7119 8136 8486 9492 12656 12729 14238 16272 16972 18984 25458 28476 29701 33944 37968 38187 50916 56952 59402 67888 76374 89103 101832 113904 118804 152748 178206 203664 237608 267309 305496 356412 475216 479459 534618 610992 712824 958918 1069236 1425648 1438377 1917836 2138472 2876754 3356213 3835672 4276944 4315131 5753508 6712426 7671344 8630262 10068639 11507016 13424852 17260524 20137278 23014032 26849704 30205917 34521048 40274556 53699408 60411834 69042096 80549112 120823668 161098224 241647336 483294672