Search a number
-
+
516797376 = 2639727749
BaseRepresentation
bin11110110011011…
…011001111000000
31100000110000201120
4132303123033000
52024300004001
6123140432240
715543463614
oct3663331700
91300400646
10516797376
1124579a577
121250a8680
13830b6884
144c8c9344
1530585236
hex1ecdb3c0

516797376 has 56 divisors (see below), whose sum is σ = 1381506000. Its totient is φ = 170483712.

The previous prime is 516797363. The next prime is 516797423. The reversal of 516797376 is 673797615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4750 + ... + 32498.

It is an arithmetic number, because the mean of its divisors is an integer number (24669750).

Almost surely, 2516797376 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 516797376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690753000).

516797376 is an abundant number, since it is smaller than the sum of its proper divisors (864708624).

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

516797376 is a wasteful number, since it uses less digits than its factorization.

516797376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27861 (or 27851 counting only the distinct ones).

The product of its digits is 1666980, while the sum is 51.

The square root of 516797376 is about 22733.1778684811. The cubic root of 516797376 is about 802.4908697440.

The spelling of 516797376 in words is "five hundred sixteen million, seven hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 4656 6208 9312 18624 27749 55498 83247 110996 166494 221992 332988 443984 665976 887968 1331952 1775936 2663904 2691653 5327808 5383306 8074959 10766612 16149918 21533224 32299836 43066448 64599672 86132896 129199344 172265792 258398688 516797376