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49338020 = 22537611093
BaseRepresentation
bin1011110000110…
…1011010100100
310102211122001002
42330031122210
5100112304040
64521252432
71136236424
oct274153244
9112748032
1049338020
1125939426
1214634118
13a2b5cc4
1467a4484
1544e8a15
hex2f0d6a4

49338020 has 48 divisors (see below), whose sum is σ = 108253488. Its totient is φ = 18869760.

The previous prime is 49338007. The next prime is 49338049. The reversal of 49338020 is 2083394.

49338020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1700416 + 47637604 = 1304^2 + 6902^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44594 + ... + 45686.

It is an arithmetic number, because the mean of its divisors is an integer number (2255281).

Almost surely, 249338020 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 49338020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54126744).

49338020 is an abundant number, since it is smaller than the sum of its proper divisors (58915468).

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

49338020 is a wasteful number, since it uses less digits than its factorization.

49338020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 49338020 is about 7024.1027896807. The cubic root of 49338020 is about 366.7700846942.

The spelling of 49338020 in words is "forty-nine million, three hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1093 1220 2186 2257 4372 4514 5465 9028 10930 11285 21860 22570 40441 45140 66673 80882 133346 161764 202205 266692 333365 404410 666730 808820 1333460 2466901 4933802 9867604 12334505 24669010 49338020