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49938120 = 2334515413
BaseRepresentation
bin1011111001111…
…1111011001000
310110222010020000
42332133323020
5100241004440
64542203000
71144316121
oct276377310
9113863200
1049938120
1126209281
1214883460
13a4661ab
1468bd048
1545b6730
hex2f9fec8

49938120 has 80 divisors (see below), whose sum is σ = 167858460. Its totient is φ = 13315968.

The previous prime is 49938107. The next prime is 49938127. The reversal of 49938120 is 2183994.

It can be written as a sum of positive squares in 2 ways, for example, as 49028004 + 910116 = 7002^2 + 954^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49938127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4467 + ... + 10946.

Almost surely, 249938120 is an apocalyptic number.

49938120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49938120 is an abundant number, since it is smaller than the sum of its proper divisors (117920340).

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

49938120 is a wasteful number, since it uses less digits than its factorization.

49938120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15436 (or 15423 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 49938120 is about 7066.6908804617. The cubic root of 49938120 is about 368.2511085452.

The spelling of 49938120 in words is "forty-nine million, nine hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 15413 30826 46239 61652 77065 92478 123304 138717 154130 184956 231195 277434 308260 369912 416151 462390 554868 616520 693585 832302 924780 1109736 1248453 1387170 1664604 1849560 2080755 2496906 2774340 3329208 4161510 4993812 5548680 6242265 8323020 9987624 12484530 16646040 24969060 49938120