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516226542 = 2313191632137
BaseRepresentation
bin11110110001001…
…111110111101110
31022222101000200120
4132301033313232
52024123222132
6123120305410
715535565436
oct3661176756
91288330616
10516226542
1124543a707
12124a72266
1382c46ac0
144c7bb2c6
15304c102c
hex1ec4fdee

516226542 has 64 divisors (see below), whose sum is σ = 1178123520. Its totient is φ = 149485824.

The previous prime is 516226541. The next prime is 516226603. The reversal of 516226542 is 245622615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516226541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240498 + ... + 242634.

It is an arithmetic number, because the mean of its divisors is an integer number (18408180).

Almost surely, 2516226542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516226542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589061760).

516226542 is an abundant number, since it is smaller than the sum of its proper divisors (661896978).

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

516226542 is a wasteful number, since it uses less digits than its factorization.

516226542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337.

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

The square root of 516226542 is about 22720.6193137423. The cubic root of 516226542 is about 802.1952943017.

The spelling of 516226542 in words is "five hundred sixteen million, two hundred twenty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 163 247 326 489 494 741 978 1482 2119 2137 3097 4238 4274 6194 6357 6411 9291 12714 12822 18582 27781 40261 40603 55562 80522 81206 83343 120783 121809 166686 241566 243618 348331 527839 696662 1044993 1055678 1583517 2089986 3167034 4528303 6618289 9056606 13236578 13584909 19854867 27169818 39709734 86037757 172075514 258113271 516226542