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50820640 = 2551353461
BaseRepresentation
bin1100000111011…
…1011000100000
310112121221210221
43001313120200
5101002230030
65013132424
71154653063
oct301673040
9115557727
1050820640
1126761332
121502a114
13a6b4ab0
146a6c8da
1546dce7a
hex3077620

50820640 has 96 divisors (see below), whose sum is σ = 132024816. Its totient is φ = 18370560.

The previous prime is 50820617. The next prime is 50820641. The reversal of 50820640 is 4602805.

It can be written as a sum of positive squares in 8 ways, for example, as 13512976 + 37307664 = 3676^2 + 6108^2 .

It is not an unprimeable number, because it can be changed into a prime (50820641) by changing a digit.

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, 110010 + ... + 110470.

Almost surely, 250820640 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 50820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66012408).

50820640 is an abundant number, since it is smaller than the sum of its proper divisors (81204176).

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

50820640 is a wasteful number, since it uses less digits than its factorization.

50820640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 50820640 is about 7128.8596563546. The cubic root of 50820640 is about 370.4077316779.

The spelling of 50820640 in words is "fifty million, eight hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 65 80 104 106 130 160 208 212 260 265 416 424 461 520 530 689 848 922 1040 1060 1378 1696 1844 2080 2120 2305 2756 3445 3688 4240 4610 5512 5993 6890 7376 8480 9220 11024 11986 13780 14752 18440 22048 23972 24433 27560 29965 36880 47944 48866 55120 59930 73760 95888 97732 110240 119860 122165 191776 195464 239720 244330 317629 390928 479440 488660 635258 781856 958880 977320 1270516 1588145 1954640 2541032 3176290 3909280 5082064 6352580 10164128 12705160 25410320 50820640