Search a number
-
+
516775376 = 241319433041
BaseRepresentation
bin11110110011010…
…101110111010000
31100000101220112202
4132303111313100
52024243303001
6123140142332
715543342515
oct3663256720
91300356482
10516775376
11245784a97
121250979a8
13830a9860
144c8c130c
153057d96b
hex1ecd5dd0

516775376 has 80 divisors (see below), whose sum is σ = 1161800640. Its totient is φ = 220631040.

The previous prime is 516775373. The next prime is 516775379. The reversal of 516775376 is 673577615.

It is an interprime number because it is at equal distance from previous prime (516775373) and next prime (516775379).

It is a self number, because there is not a number n which added to its sum of digits gives 516775376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516775373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168416 + ... + 171456.

It is an arithmetic number, because the mean of its divisors is an integer number (14522508).

Almost surely, 2516775376 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 516775376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580900320).

516775376 is an abundant number, since it is smaller than the sum of its proper divisors (645025264).

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

516775376 is a wasteful number, since it uses less digits than its factorization.

516775376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3118 counting only the distinct ones).

The product of its digits is 926100, while the sum is 47.

The square root of 516775376 is about 22732.6939890546. The cubic root of 516775376 is about 802.4794822703.

The spelling of 516775376 in words is "five hundred sixteen million, seven hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 19 26 38 43 52 76 86 104 152 172 208 247 304 344 494 559 688 817 988 1118 1634 1976 2236 3041 3268 3952 4472 6082 6536 8944 10621 12164 13072 21242 24328 39533 42484 48656 57779 79066 84968 115558 130763 158132 169936 231116 261526 316264 462232 523052 632528 751127 924464 1046104 1502254 1699919 2092208 2484497 3004508 3399838 4968994 6009016 6799676 9937988 12018032 13599352 19875976 27198704 32298461 39751952 64596922 129193844 258387688 516775376