Search a number
-
+
484496376 = 233713972287
BaseRepresentation
bin11100111000001…
…101001111111000
31020202122222002020
4130320031033320
51443012341001
6120024234440
715002102610
oct3470151770
91222588066
10484496376
11229538331
1211630ba20
13794b7460
14484bba40
152c804736
hex1ce0d3f8

484496376 has 128 divisors (see below), whose sum is σ = 1506785280. Its totient is φ = 126406656.

The previous prime is 484496329. The next prime is 484496381. The reversal of 484496376 is 673694484.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210705 + ... + 212991.

It is an arithmetic number, because the mean of its divisors is an integer number (11771760).

Almost surely, 2484496376 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 484496376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753392640).

484496376 is an abundant number, since it is smaller than the sum of its proper divisors (1022288904).

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

484496376 is a wasteful number, since it uses less digits than its factorization.

484496376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2409 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 484496376 is about 22011.2783817751. The cubic root of 484496376 is about 785.4107555924.

The spelling of 484496376 in words is "four hundred eighty-four million, four hundred ninety-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 97 104 156 168 182 194 273 291 312 364 388 546 582 679 728 776 1092 1164 1261 1358 2037 2184 2287 2328 2522 2716 3783 4074 4574 5044 5432 6861 7566 8148 8827 9148 10088 13722 15132 16009 16296 17654 18296 26481 27444 29731 30264 32018 35308 48027 52962 54888 59462 64036 70616 89193 96054 105924 118924 128072 178386 192108 208117 211848 221839 237848 356772 384216 416234 443678 624351 665517 713544 832468 887356 1248702 1331034 1552873 1664936 1774712 2497404 2662068 2883907 3105746 4658619 4994808 5324136 5767814 6211492 8651721 9317238 11535628 12422984 17303442 18634476 20187349 23071256 34606884 37268952 40374698 60562047 69213768 80749396 121124094 161498792 242248188 484496376