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500054464 = 26713194519
BaseRepresentation
bin11101110011100…
…011100111000000
31021211221101202201
4131303203213000
52011003220324
6121341522544
715251251510
oct3563434700
91254841681
10500054464
112372a4358
1211b573454
137c7a3b20
144a5ab840
152dd79444
hex1dce39c0

500054464 has 112 divisors (see below), whose sum is σ = 1285849600. Its totient is φ = 187370496.

The previous prime is 500054449. The next prime is 500054501. The reversal of 500054464 is 464450005.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 108397 + ... + 112915.

It is an arithmetic number, because the mean of its divisors is an integer number (11480800).

Almost surely, 2500054464 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 500054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642924800).

500054464 is an abundant number, since it is smaller than the sum of its proper divisors (785795136).

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

500054464 is a wasteful number, since it uses less digits than its factorization.

500054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 500054464 is about 22361.8975938984. The cubic root of 500054464 is about 793.7293436747.

The spelling of 500054464 in words is "five hundred million, fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 988 1064 1216 1456 1729 1976 2128 2912 3458 3952 4256 4519 5824 6916 7904 8512 9038 13832 15808 18076 27664 31633 36152 55328 58747 63266 72304 85861 110656 117494 126532 144608 171722 234988 253064 289216 343444 411229 469976 506128 601027 686888 822458 939952 1012256 1116193 1202054 1373776 1644916 1879904 2024512 2232386 2404108 2747552 3289832 3759808 4464772 4808216 5495104 6579664 7813351 8929544 9616432 13159328 15626702 17859088 19232864 26318656 31253404 35718176 38465728 62506808 71436352 125013616 250027232 500054464