Search a number
-
+
509980044 = 22372731092
BaseRepresentation
bin11110011001011…
…010110110001100
31022112121200002210
4132121122312030
52021023330134
6122334350420
715431521200
oct3631326614
91275550083
10509980044
11241963612
1212295b410
138186a852
144ba32b00
152eb8a2e9
hex1e65ad8c

509980044 has 108 divisors (see below), whose sum is σ = 1416185064. Its totient is φ = 142394112.

The previous prime is 509980021. The next prime is 509980049. The reversal of 509980044 is 440089905.

It is a junction number, because it is equal to n+sod(n) for n = 509979984 and 509980011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509980049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4678662 + ... + 4678770.

Almost surely, 2509980044 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 509980044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708092532).

509980044 is an abundant number, since it is smaller than the sum of its proper divisors (906205020).

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

509980044 is a wasteful number, since it uses less digits than its factorization.

509980044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 509980044 is about 22582.7377436838. The cubic root of 509980044 is about 798.9465530040.

The spelling of 509980044 in words is "five hundred nine million, nine hundred eighty thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 109 146 147 196 218 219 292 294 327 436 438 511 588 654 763 876 1022 1308 1526 1533 2044 2289 3052 3066 3577 4578 5341 6132 7154 7957 9156 10682 10731 11881 14308 15914 16023 21364 21462 23762 23871 31828 32046 35643 42924 47524 47742 55699 64092 71286 83167 95484 111398 142572 166334 167097 222796 249501 332668 334194 389893 499002 582169 668388 779786 867313 998004 1164338 1169679 1559572 1734626 1746507 2328676 2339358 2601939 3469252 3493014 4678716 5203878 6071191 6986028 10407756 12142382 18213573 24284764 36427146 42498337 72854292 84996674 127495011 169993348 254990022 509980044