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49504544 = 2517253101
BaseRepresentation
bin1011110011011…
…0000100100000
310110011002110122
42330312010200
5100133121134
64525015412
71140532055
oct274660440
9113132418
1049504544
1125a42551
12146b4568
13a343a3b
14680902c
15452d02e
hex2f36120

49504544 has 72 divisors (see below), whose sum is σ = 106530228. Its totient is φ = 22630400.

The previous prime is 49504541. The next prime is 49504547. The reversal of 49504544 is 44540594.

It is an interprime number because it is at equal distance from previous prime (49504541) and next prime (49504547).

It can be written as a sum of positive squares in 6 ways, for example, as 49168144 + 336400 = 7012^2 + 580^2 .

It is not an unprimeable number, because it can be changed into a prime (49504541) 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 11 ways as a sum of consecutive naturals, for example, 490094 + ... + 490194.

Almost surely, 249504544 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 49504544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53265114).

49504544 is an abundant number, since it is smaller than the sum of its proper divisors (57025684).

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

49504544 is a wasteful number, since it uses less digits than its factorization.

49504544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 49504544 is about 7035.9465603428. The cubic root of 49504544 is about 367.1822579448.

The spelling of 49504544 in words is "forty-nine million, five hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 53 68 101 106 136 202 212 272 289 404 424 544 578 808 848 901 1156 1616 1696 1717 1802 2312 3232 3434 3604 4624 5353 6868 7208 9248 10706 13736 14416 15317 21412 27472 28832 29189 30634 42824 54944 58378 61268 85648 91001 116756 122536 171296 182002 233512 245072 364004 467024 490144 728008 934048 1456016 1547017 2912032 3094034 6188068 12376136 24752272 49504544