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50664000 = 263532111
BaseRepresentation
bin1100000101000…
…1001001000000
310112022222221110
43001101021000
5100432222000
65005523320
71153431312
oct301211100
9115288843
1050664000
1126664682
1214b73540
13a65b6ca
146a2b7b2
1546ab850
hex3051240

50664000 has 112 divisors (see below), whose sum is σ = 167371776. Its totient is φ = 13504000.

The previous prime is 50663953. The next prime is 50664001. The reversal of 50664000 is 46605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22945 + ... + 25055.

Almost surely, 250664000 is an apocalyptic number.

50664000 is a gapful number since it is divisible by the number (50) 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 50664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83685888).

50664000 is an abundant number, since it is smaller than the sum of its proper divisors (116707776).

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

50664000 is a wasteful number, since it uses less digits than its factorization.

50664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 50664000 is about 7117.8648483938. The cubic root of 50664000 is about 370.0267816017.

The spelling of 50664000 in words is "fifty million, six hundred sixty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2111 2400 3000 4000 4222 4800 6000 6333 8000 8444 10555 12000 12666 16888 21110 24000 25332 31665 33776 42220 50664 52775 63330 67552 84440 101328 105550 126660 135104 158325 168880 202656 211100 253320 263875 316650 337760 405312 422200 506640 527750 633300 675520 791625 844400 1013280 1055500 1266600 1583250 1688800 2026560 2111000 2533200 3166500 3377600 4222000 5066400 6333000 8444000 10132800 12666000 16888000 25332000 50664000