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49148120 = 2357191919
BaseRepresentation
bin1011101101111…
…1000011011000
310102110222112202
42323133003120
5100040214440
64513225332
71134515660
oct273370330
9112428482
1049148120
112581978a
1214562248
13a24a738
1467551a0
1544ac615
hex2edf0d8

49148120 has 64 divisors (see below), whose sum is σ = 127180800. Its totient is φ = 16744320.

The previous prime is 49148101. The next prime is 49148123. The reversal of 49148120 is 2184194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49148123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53021 + ... + 53939.

It is an arithmetic number, because the mean of its divisors is an integer number (1987200).

Almost surely, 249148120 is an apocalyptic number.

49148120 is a gapful number since it is divisible by the number (40) 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 49148120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63590400).

49148120 is an abundant number, since it is smaller than the sum of its proper divisors (78032680).

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

49148120 is a wasteful number, since it uses less digits than its factorization.

49148120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 49148120 is about 7010.5720166046. The cubic root of 49148120 is about 366.2989187105.

The spelling of 49148120 in words is "forty-nine million, one hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 191 280 382 764 919 955 1337 1528 1838 1910 2674 3676 3820 4595 5348 6433 6685 7352 7640 9190 10696 12866 13370 18380 25732 26740 32165 36760 51464 53480 64330 128660 175529 257320 351058 702116 877645 1228703 1404232 1755290 2457406 3510580 4914812 6143515 7021160 9829624 12287030 24574060 49148120