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49199328 = 25321391229
BaseRepresentation
bin1011101110101…
…1100011100000
310102120120210100
42323223203200
5100043334303
64514302400
71135121163
oct273534340
9112516710
1049199328
1125854202
1214587a00
13a267b39
146769ada
1544bc8a3
hex2eeb8e0

49199328 has 72 divisors (see below), whose sum is σ = 141031800. Its totient is φ = 16268544.

The previous prime is 49199321. The next prime is 49199347. The reversal of 49199328 is 82399194.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49199321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39418 + ... + 40646.

It is an arithmetic number, because the mean of its divisors is an integer number (1958775).

Almost surely, 249199328 is an apocalyptic number.

49199328 is a gapful number since it is divisible by the number (48) 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 49199328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70515900).

49199328 is an abundant number, since it is smaller than the sum of its proper divisors (91832472).

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

49199328 is a wasteful number, since it uses less digits than its factorization.

49199328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 49199328 is about 7014.2232641968. The cubic root of 49199328 is about 366.4260915930.

The spelling of 49199328 in words is "forty-nine million, one hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1229 1251 1668 2224 2458 2502 3336 3687 4448 4916 5004 6672 7374 9832 10008 11061 13344 14748 19664 20016 22122 29496 39328 40032 44244 58992 88488 117984 170831 176976 341662 353952 512493 683324 1024986 1366648 1537479 2049972 2733296 3074958 4099944 5466592 6149916 8199888 12299832 16399776 24599664 49199328