Search a number
-
+
487531392 = 2735932141
BaseRepresentation
bin11101000011110…
…010001110000000
31020222101011100020
4131003302032000
51444302001032
6120213253440
715036643215
oct3503621600
91228334306
10487531392
11230220607
12117334280
137a00aa1a
1448a6bb0c
152cc03b2c
hex1d0f2380

487531392 has 64 divisors (see below), whose sum is σ = 1297794960. Its totient is φ = 162160640.

The previous prime is 487531361. The next prime is 487531397. The reversal of 487531392 is 293135784.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487531397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226642 + ... + 228782.

Almost surely, 2487531392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487531392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648897480).

487531392 is an abundant number, since it is smaller than the sum of its proper divisors (810263568).

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

487531392 is a wasteful number, since it uses less digits than its factorization.

487531392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2739 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 487531392 is about 22080.1130431889. The cubic root of 487531392 is about 787.0473512592.

The spelling of 487531392 in words is "four hundred eighty-seven million, five hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 593 1186 1779 2141 2372 3558 4282 4744 6423 7116 8564 9488 12846 14232 17128 18976 25692 28464 34256 37952 51384 56928 68512 75904 102768 113856 137024 205536 227712 274048 411072 822144 1269613 2539226 3808839 5078452 7617678 10156904 15235356 20313808 30470712 40627616 60941424 81255232 121882848 162510464 243765696 487531392