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466141949 = 72135979157
BaseRepresentation
bin11011110010001…
…100001011111101
31012111010110112122
4123302030023331
51423313020244
6114131012325
714360066300
oct3362141375
91174113478
10466141949
1121a141389
1211013a0a5
137575c050
1445ca0b37
152adcb1ee
hex1bc8c2fd

466141949 has 48 divisors (see below), whose sum is σ = 605203200. Its totient is φ = 355694976.

The previous prime is 466141937. The next prime is 466141957. The reversal of 466141949 is 949141664.

It is not a de Polignac number, because 466141949 - 24 = 466141933 is a prime.

466141949 is a modest number, since divided by 41949 gives 4661 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466141979) 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 47 ways as a sum of consecutive naturals, for example, 2968979 + ... + 2969135.

It is an arithmetic number, because the mean of its divisors is an integer number (12608400).

Almost surely, 2466141949 is an apocalyptic number.

466141949 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

466141949 is a deficient number, since it is larger than the sum of its proper divisors (139061251).

466141949 is a wasteful number, since it uses less digits than its factorization.

With its successor (466141950) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (315).

With its successor (466141950) it forms an eRAP, since the sums of their prime factors are consecutive (322 and 323).

466141949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 466141949 is about 21590.3207248063. The cubic root of 466141949 is about 775.3647670336.

It can be divided in two parts, 4661 and 41949, that multiplied together give a square (195524289 = 139832).

The spelling of 466141949 in words is "four hundred sixty-six million, one hundred forty-one thousand, nine hundred forty-nine".

Divisors: 1 7 13 49 59 79 91 157 413 553 637 767 1027 1099 2041 2891 3871 4661 5369 7189 7693 9263 12403 14287 32627 37583 50323 60593 64841 86821 100009 120419 161239 228389 424151 453887 607747 731777 842933 1128673 2969057 5122439 5900531 7900711 9513101 35857073 66591707 466141949