Search a number
-
+
487874352 = 24373134639
BaseRepresentation
bin11101000101000…
…101111100110000
31021000000120210110
4131011011330300
51444343434402
6120224501320
715042602130
oct3505057460
91230016713
10487874352
11230435249
1211747a840
137a0cab64
1448b1aac0
152cc7056c
hex1d145f30

487874352 has 80 divisors (see below), whose sum is σ = 1445304320. Its totient is φ = 138917376.

The previous prime is 487874333. The next prime is 487874353. The reversal of 487874352 is 253478784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (487874353) 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, 102849 + ... + 107487.

It is an arithmetic number, because the mean of its divisors is an integer number (18066304).

Almost surely, 2487874352 is an apocalyptic number.

487874352 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 487874352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722652160).

487874352 is an abundant number, since it is smaller than the sum of its proper divisors (957429968).

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

487874352 is a wasteful number, since it uses less digits than its factorization.

487874352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4964 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The square root of 487874352 is about 22087.8779424371. The cubic root of 487874352 is about 787.2318607387.

The spelling of 487874352 in words is "four hundred eighty-seven million, eight hundred seventy-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 313 336 626 939 1252 1878 2191 2504 3756 4382 4639 5008 6573 7512 8764 9278 13146 13917 15024 17528 18556 26292 27834 32473 35056 37112 52584 55668 64946 74224 97419 105168 111336 129892 194838 222672 259784 389676 519568 779352 1452007 1558704 2904014 4356021 5808028 8712042 10164049 11616056 17424084 20328098 23232112 30492147 34848168 40656196 60984294 69696336 81312392 121968588 162624784 243937176 487874352