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49980736 = 261324621
BaseRepresentation
bin1011111010101…
…0010101000000
310111001021200101
42332222111000
5100243340421
64543132144
71144554301
oct276522500
9114037611
1049980736
11262382a3
12148a4054
13a47c700
1468d07a8
1545c4191
hex2faa540

49980736 has 42 divisors (see below), whose sum is σ = 107419902. Its totient is φ = 23063040.

The previous prime is 49980713. The next prime is 49980737. The reversal of 49980736 is 63708994.

It can be written as a sum of positive squares in 3 ways, for example, as 193600 + 49787136 = 440^2 + 7056^2 .

It is a super-2 number, since 2×499807362 = 4996147942203392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49980737) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8506 + ... + 13126.

Almost surely, 249980736 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 49980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53709951).

49980736 is an abundant number, since it is smaller than the sum of its proper divisors (57439166).

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

49980736 is a wasteful number, since it uses less digits than its factorization.

49980736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 49980736 is about 7069.7055101327. The cubic root of 49980736 is about 368.3558309980.

The spelling of 49980736 in words is "forty-nine million, nine hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 4621 5408 9242 10816 18484 36968 60073 73936 120146 147872 240292 295744 480584 780949 961168 1561898 1922336 3123796 3844672 6247592 12495184 24990368 49980736