Search a number
-
+
517609940 = 225232274957
BaseRepresentation
bin11110110110100…
…001100111010100
31100001222022100112
4132312201213110
52030002004230
6123210102152
715553416611
oct3666414724
91301868315
10517609940
112461a5011
1212541a958
138330c693
144ca5b508
1530695d95
hex1eda19d4

517609940 has 48 divisors (see below), whose sum is σ = 1139467392. Its totient is φ = 197129856.

The previous prime is 517609889. The next prime is 517609969. The reversal of 517609940 is 49906715.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101942 + ... + 106898.

It is an arithmetic number, because the mean of its divisors is an integer number (23738904).

Almost surely, 2517609940 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 517609940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569733696).

517609940 is an abundant number, since it is smaller than the sum of its proper divisors (621857452).

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

517609940 is a wasteful number, since it uses less digits than its factorization.

517609940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 517609940 is about 22751.0426134716. The cubic root of 517609940 is about 802.9112367747.

The spelling of 517609940 in words is "five hundred seventeen million, six hundred nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 227 230 454 460 908 1135 2270 4540 4957 5221 9914 10442 19828 20884 24785 26105 49570 52210 99140 104420 114011 228022 456044 570055 1125239 1140110 2250478 2280220 4500956 5626195 11252390 22504780 25880497 51760994 103521988 129402485 258804970 517609940