Search a number
-
+
495884224 = 261129107227
BaseRepresentation
bin11101100011101…
…001011111000000
31021120002112021101
4131203221133000
52003421243344
6121112304144
715200642413
oct3543513700
91246075241
10495884224
11234a06180
1211a0a2054
137b973924
1449c03b7a
152d8039d4
hex1d8e97c0

495884224 has 112 divisors (see below), whose sum is σ = 1125809280. Its totient is φ = 214645760.

The previous prime is 495884177. The next prime is 495884243. The reversal of 495884224 is 422488594.

It is a super-2 number, since 2×4958842242 = 491802327224164352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2184399 + ... + 2184625.

Almost surely, 2495884224 is an apocalyptic number.

495884224 is a gapful number since it is divisible by the number (44) 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 495884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562904640).

495884224 is an abundant number, since it is smaller than the sum of its proper divisors (629925056).

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

495884224 is a wasteful number, since it uses less digits than its factorization.

495884224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The square root of 495884224 is about 22268.4580516928. The cubic root of 495884224 is about 791.5167272430.

The spelling of 495884224 in words is "four hundred ninety-five million, eight hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 107 116 176 214 227 232 319 352 428 454 464 638 704 856 908 928 1177 1276 1712 1816 1856 2354 2497 2552 3103 3424 3632 4708 4994 5104 6206 6583 6848 7264 9416 9988 10208 12412 13166 14528 18832 19976 20416 24289 24824 26332 34133 37664 39952 48578 49648 52664 68266 72413 75328 79904 97156 99296 105328 136532 144826 159808 194312 198592 210656 267179 273064 289652 388624 421312 534358 546128 579304 704381 777248 1068716 1092256 1158608 1408762 1554496 2137432 2184512 2317216 2817524 4274864 4634432 5635048 7748191 8549728 11270096 15496382 17099456 22540192 30992764 45080384 61985528 123971056 247942112 495884224