Search a number
-
+
546052416 = 26371331253
BaseRepresentation
bin100000100011000…
…001100101000000
31102001111100002120
4200203001211000
52104242134131
6130103444240
716350240360
oct4043014500
91361440076
10546052416
11260261298
12132a56680
138918a750
14527429a0
1532e13496
hex208c1940

546052416 has 112 divisors (see below), whose sum is σ = 1778227584. Its totient is φ = 144009216.

The previous prime is 546052411. The next prime is 546052417. The reversal of 546052416 is 614250645.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546052411) 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, 1846 + ... + 33098.

It is an arithmetic number, because the mean of its divisors is an integer number (15877032).

Almost surely, 2546052416 is an apocalyptic number.

546052416 is a gapful number since it is divisible by the number (56) 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 546052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889113792).

546052416 is an abundant number, since it is smaller than the sum of its proper divisors (1232175168).

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

546052416 is a wasteful number, since it uses less digits than its factorization.

546052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31288 (or 31278 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 546052416 is about 23367.7644630375. The cubic root of 546052416 is about 817.3563562859.

The spelling of 546052416 in words is "five hundred forty-six million, fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 31253 62506 93759 125012 187518 218771 250024 375036 406289 437542 500048 656313 750072 812578 875084 1000096 1218867 1312626 1500144 1625156 1750168 2000192 2437734 2625252 2844023 3000288 3250312 3500336 4875468 5250504 5688046 6000576 6500624 7000672 8532069 9750936 10501008 11376092 13001248 14001344 17064138 19501872 21002016 22752184 26002496 34128276 39003744 42004032 45504368 68256552 78007488 91008736 136513104 182017472 273026208 546052416