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49980128 = 25111071327
BaseRepresentation
bin1011111010101…
…0001011100000
310111001020211212
42332222023200
5100243331003
64543125252
71144552442
oct276521340
9114036755
1049980128
11262378a0
12148a3828
13a47c353
1468d0492
1545c3dd8
hex2faa2e0

49980128 has 48 divisors (see below), whose sum is σ = 108428544. Its totient is φ = 22488960.

The previous prime is 49980121. The next prime is 49980143. The reversal of 49980128 is 82108994.

49980128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49980121) 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 7 ways as a sum of consecutive naturals, for example, 37001 + ... + 38327.

It is an arithmetic number, because the mean of its divisors is an integer number (2258928).

Almost surely, 249980128 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 49980128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54214272).

49980128 is an abundant number, since it is smaller than the sum of its proper divisors (58448416).

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

49980128 is a wasteful number, since it uses less digits than its factorization.

49980128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 49980128 is about 7069.6625096252. The cubic root of 49980128 is about 368.3543373475.

The spelling of 49980128 in words is "forty-nine million, nine hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 856 1177 1327 1712 2354 2654 3424 4708 5308 9416 10616 14597 18832 21232 29194 37664 42464 58388 116776 141989 233552 283978 467104 567956 1135912 1561879 2271824 3123758 4543648 6247516 12495032 24990064 49980128