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487880232 = 233723314073
BaseRepresentation
bin11101000101000…
…111011000101000
31021000000212212020
4131011013120220
51444344131412
6120224544440
715042625230
oct3505073050
91230025766
10487880232
11230439704
12117482120
137a100738
1448b1ccc0
152cc7218c
hex1d147628

487880232 has 128 divisors (see below), whose sum is σ = 1501839360. Its totient is φ = 129000960.

The previous prime is 487880219. The next prime is 487880269. The reversal of 487880232 is 232088784.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117748 + ... + 121820.

It is an arithmetic number, because the mean of its divisors is an integer number (11733120).

Almost surely, 2487880232 is an apocalyptic number.

487880232 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 487880232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750919680).

487880232 is an abundant number, since it is smaller than the sum of its proper divisors (1013959128).

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

487880232 is a wasteful number, since it uses less digits than its factorization.

487880232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 487880232 is about 22088.0110467194. The cubic root of 487880232 is about 787.2350233732.

The spelling of 487880232 in words is "four hundred eighty-seven million, eight hundred eighty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 56 62 69 84 92 93 124 138 161 168 184 186 217 248 276 322 372 434 483 552 644 651 713 744 868 966 1288 1302 1426 1736 1932 2139 2604 2852 3864 4073 4278 4991 5208 5704 8146 8556 9982 12219 14973 16292 17112 19964 24438 28511 29946 32584 39928 48876 57022 59892 85533 93679 97752 114044 119784 126263 171066 187358 228088 252526 281037 342132 374716 378789 505052 562074 655753 684264 749432 757578 883841 1010104 1124148 1311506 1515156 1767682 1967259 2248296 2623012 2651523 2904049 3030312 3535364 3934518 5246024 5303046 5808098 7070728 7869036 8712147 10606092 11616196 15738072 17424294 20328343 21212184 23232392 34848588 40656686 60985029 69697176 81313372 121970058 162626744 243940116 487880232