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500552052 = 2237211135953
BaseRepresentation
bin11101110101011…
…101000101110100
31021212212200022220
4131311131011310
52011120131202
6121400322340
715255423300
oct3565350564
91255780286
10500552052
11237604190
1211b7733b0
137c919460
144a69ad00
152de26abc
hex1dd5d174

500552052 has 144 divisors (see below), whose sum is σ = 1596434112. Its totient is φ = 119992320.

The previous prime is 500552051. The next prime is 500552057. The reversal of 500552052 is 250255005.

It is a super-2 number, since 2×5005520522 = 501104713522821408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500552051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81108 + ... + 87060.

It is an arithmetic number, because the mean of its divisors is an integer number (11086348).

Almost surely, 2500552052 is an apocalyptic number.

500552052 is a gapful number since it is divisible by the number (52) 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 500552052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798217056).

500552052 is an abundant number, since it is smaller than the sum of its proper divisors (1095882060).

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

500552052 is a wasteful number, since it uses less digits than its factorization.

500552052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 500552052 is about 22373.0206275326. The cubic root of 500552052 is about 793.9925278522.

The spelling of 500552052 in words is "five hundred million, five hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 5953 6006 6468 7007 7644 11906 12012 14014 17859 21021 23812 28028 35718 41671 42042 65483 71436 77389 83342 84084 125013 130966 154778 166684 196449 232167 250026 261932 291697 309556 392898 458381 464334 500052 541723 583394 785796 851279 875091 916762 928668 1083446 1166788 1375143 1625169 1702558 1750182 1833524 2166892 2553837 2750286 3208667 3250338 3405116 3500364 3792061 5107674 5500572 5958953 6417334 6500676 7584122 9626001 10215348 11376183 11917906 12834668 15168244 17876859 19252002 22752366 23835812 35753718 38504004 41712671 45504732 71507436 83425342 125138013 166850684 250276026 500552052