Search a number
-
+
516703488 = 2837223431
BaseRepresentation
bin11110110011000…
…100010100000000
31100000021020221020
4132303010110000
52024234002423
6123134425440
715542623110
oct3663042400
91300236836
10516703488
11245735a84
12125062280
1383082c12
144c8a3040
15305674e3
hex1ecc4500

516703488 has 144 divisors (see below), whose sum is σ = 1582350336. Its totient is φ = 146626560.

The previous prime is 516703459. The next prime is 516703493. The reversal of 516703488 is 884307615.

It is a super-2 number, since 2×5167034882 = 533964989022732288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198633 + ... + 1199063.

It is an arithmetic number, because the mean of its divisors is an integer number (10988544).

Almost surely, 2516703488 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 516703488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791175168).

516703488 is an abundant number, since it is smaller than the sum of its proper divisors (1065646848).

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

516703488 is a wasteful number, since it uses less digits than its factorization.

516703488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 516703488 is about 22731.1127752251. The cubic root of 516703488 is about 802.4422698934.

The spelling of 516703488 in words is "five hundred sixteen million, seven hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 223 224 256 336 384 431 446 448 669 672 768 862 892 896 1293 1338 1344 1561 1724 1784 1792 2586 2676 2688 3017 3122 3448 3568 4683 5172 5352 5376 6034 6244 6896 7136 9051 9366 10344 10704 12068 12488 13792 14272 18102 18732 20688 21408 24136 24976 27584 28544 36204 37464 41376 42816 48272 49952 55168 57088 72408 74928 82752 85632 96113 96544 99904 110336 144816 149856 165504 171264 192226 193088 199808 288339 289632 299712 331008 384452 386176 399616 576678 579264 599424 672791 768904 772352 1153356 1158528 1198848 1345582 1537808 2018373 2306712 2317056 2691164 3075616 4036746 4613424 5382328 6151232 8073492 9226848 10764656 12302464 16146984 18453696 21529312 24604928 32293968 36907392 43058624 64587936 73814784 86117248 129175872 172234496 258351744 516703488