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50844400 = 2452791609
BaseRepresentation
bin1100000111110…
…1001011110000
310112200011101221
43001331023300
5101004010100
65013434424
71155112255
oct301751360
9115604357
1050844400
1126778172
121503ba14
13a6c2859
146a7742c
1546e501a
hex307d2f0

50844400 has 60 divisors (see below), whose sum is σ = 123776800. Its totient is φ = 20067840.

The previous prime is 50844397. The next prime is 50844403. The reversal of 50844400 is 444805.

50844400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50844397) and next prime (50844403).

It is a super-2 number, since 2×508444002 = 5170306022720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50844403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30796 + ... + 32404.

Almost surely, 250844400 is an apocalyptic number.

50844400 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 50844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61888400).

50844400 is an abundant number, since it is smaller than the sum of its proper divisors (72932400).

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

50844400 is a wasteful number, since it uses less digits than its factorization.

50844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 50844400 is about 7130.5259273072. The cubic root of 50844400 is about 370.4654478376.

The spelling of 50844400 in words is "fifty million, eight hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 158 200 316 395 400 632 790 1264 1580 1609 1975 3160 3218 3950 6320 6436 7900 8045 12872 15800 16090 25744 31600 32180 40225 64360 80450 127111 128720 160900 254222 321800 508444 635555 643600 1016888 1271110 2033776 2542220 3177775 5084440 6355550 10168880 12711100 25422200 50844400