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49127040 = 273352843
BaseRepresentation
bin1011101101100…
…1111010000000
310102102220122000
42323121322000
5100034031130
64512544000
71134400344
oct273317200
9112386560
1049127040
1125804966
1214552000
13a240c71
14674b624
1544a6260
hex2ed9e80

49127040 has 128 divisors (see below), whose sum is σ = 174052800. Its totient is φ = 13095936.

The previous prime is 49127003. The next prime is 49127041. The reversal of 49127040 is 4072194.

It is a happy number.

49127040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 49126995 and 49127013.

It is not an unprimeable number, because it can be changed into a prime (49127041) by changing a digit.

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, 15859 + ... + 18701.

Almost surely, 249127040 is an apocalyptic number.

49127040 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 49127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87026400).

49127040 is an abundant number, since it is smaller than the sum of its proper divisors (124925760).

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

49127040 is a wasteful number, since it uses less digits than its factorization.

49127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 49127040 is about 7009.0684117078. The cubic root of 49127040 is about 366.2465417636.

The spelling of 49127040 in words is "forty-nine million, one hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2843 2880 3456 4320 5686 5760 8529 8640 11372 14215 17058 17280 22744 25587 28430 34116 42645 45488 51174 56860 68232 76761 85290 90976 102348 113720 127935 136464 153522 170580 181952 204696 227440 255870 272928 307044 341160 363904 383805 409392 454880 511740 545856 614088 682320 767610 818784 909760 1023480 1091712 1228176 1364640 1535220 1637568 1819520 2046960 2456352 2729280 3070440 3275136 4093920 4912704 5458560 6140880 8187840 9825408 12281760 16375680 24563520 49127040