Search a number
-
+
495973044 = 22347379577
BaseRepresentation
bin11101100011111…
…111001010110100
31021120021001010000
4131203333022310
52003432114134
6121114231300
715201462360
oct3543771264
91246231100
10495973044
11234a66986
1211a125530
137b9a5198
1449c282a0
152d81ee99
hex1d8ff2b4

495973044 has 120 divisors (see below), whose sum is σ = 1488280640. Its totient is φ = 141087744.

The previous prime is 495973043. The next prime is 495973069. The reversal of 495973044 is 440379594.

It is a happy number.

495973044 is a `hidden beast` number, since 495 + 97 + 30 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495973043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 859284 + ... + 859860.

Almost surely, 2495973044 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 495973044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744140320).

495973044 is an abundant number, since it is smaller than the sum of its proper divisors (992307596).

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

495973044 is a wasteful number, since it uses less digits than its factorization.

495973044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 495973044 is about 22270.4522630323. The cubic root of 495973044 is about 791.5639817669.

The spelling of 495973044 in words is "four hundred ninety-five million, nine hundred seventy-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 379 567 577 756 758 1134 1137 1154 1516 1731 2268 2274 2308 2653 3411 3462 4039 4548 5193 5306 6822 6924 7959 8078 10233 10386 10612 12117 13644 15579 15918 16156 20466 20772 23877 24234 30699 31158 31836 36351 40932 46737 47754 48468 61398 62316 71631 72702 93474 95508 109053 122796 143262 145404 186948 214893 218106 218683 286524 327159 429786 436212 437366 654318 656049 859572 874732 1308636 1312098 1530781 1968147 2624196 3061562 3936294 4592343 5904441 6123124 7872588 9184686 11808882 13777029 17713323 18369372 23617764 27554058 35426646 41331087 55108116 70853292 82662174 123993261 165324348 247986522 495973044