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49141890 = 23857107
BaseRepresentation
bin1011101101110…
…1100010000010
310102110200000000
42323131202002
5100040020030
64513140430
71134461550
oct273354202
9112420000
1049141890
1125815036
121455a716
13a247955
146752bd0
1544aa860
hex2edd882

49141890 has 144 divisors (see below), whose sum is σ = 153047232. Its totient is φ = 11127456.

The previous prime is 49141889. The next prime is 49141891. The reversal of 49141890 is 9814194.

49141890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49141889) and next prime (49141891).

It is not an unprimeable number, because it can be changed into a prime (49141891) 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 71 ways as a sum of consecutive naturals, for example, 459217 + ... + 459323.

It is an arithmetic number, because the mean of its divisors is an integer number (1062828).

Almost surely, 249141890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49141890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76523616).

49141890 is an abundant number, since it is smaller than the sum of its proper divisors (103905342).

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

49141890 is an equidigital number, since it uses as much as digits as its factorization.

49141890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 49141890 is about 7010.1276735877. The cubic root of 49141890 is about 366.2834407452.

The spelling of 49141890 in words is "forty-nine million, one hundred forty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 107 126 135 162 189 210 214 243 270 315 321 378 405 486 535 567 630 642 729 749 810 945 963 1070 1134 1215 1458 1498 1605 1701 1890 1926 2187 2247 2430 2835 2889 3210 3402 3645 3745 4374 4494 4815 5103 5670 5778 6561 6741 7290 7490 8505 8667 9630 10206 10935 11235 13122 13482 14445 15309 17010 17334 20223 21870 22470 25515 26001 28890 30618 32805 33705 40446 43335 45927 51030 52002 60669 65610 67410 76545 78003 86670 91854 101115 121338 130005 153090 156006 182007 202230 229635 234009 260010 303345 364014 390015 459270 468018 546021 606690 702027 780030 910035 1092042 1170045 1404054 1638063 1820070 2340090 2730105 3276126 3510135 4914189 5460210 7020270 8190315 9828378 16380630 24570945 49141890