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500490816 = 26372912841
BaseRepresentation
bin11101110101001…
…110001001000000
31021212202120022220
4131311032021000
52011111201231
6121355131040
715255046620
oct3565161100
91255676286
10500490816
11237572181
1211b743a80
137c8c7617
144a682880
152de13896
hex1dd4e240

500490816 has 112 divisors (see below), whose sum is σ = 1565696640. Its totient is φ = 138055680.

The previous prime is 500490773. The next prime is 500490917. The reversal of 500490816 is 618094005.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32556 + ... + 45396.

Almost surely, 2500490816 is an apocalyptic number.

500490816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782848320).

500490816 is an abundant number, since it is smaller than the sum of its proper divisors (1065205824).

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

500490816 is a wasteful number, since it uses less digits than its factorization.

500490816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12892 (or 12882 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 500490816 is about 22371.6520623757. The cubic root of 500490816 is about 793.9601483297.

The spelling of 500490816 in words is "five hundred million, four hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6496 9744 12841 12992 19488 25682 38523 38976 51364 77046 89887 102728 154092 179774 205456 269661 308184 359548 372389 410912 539322 616368 719096 744778 821824 1078644 1117167 1232736 1438192 1489556 2157288 2234334 2465472 2606723 2876384 2979112 4314576 4468668 5213446 5752768 5958224 7820169 8629152 8937336 10426892 11916448 15640338 17258304 17874672 20853784 23832896 31280676 35749344 41707568 62561352 71498688 83415136 125122704 166830272 250245408 500490816