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61461855 = 3357135003
BaseRepresentation
bin1110101001110…
…1010101011111
311021122120211000
43222131111133
5111213234410
610033201343
71344263040
oct352352537
9137576730
1061461855
113176a224
1218700253
13c96c480
14823c8c7
1555e0dc0
hex3a9d55f

61461855 has 64 divisors (see below), whose sum is σ = 134507520. Its totient is φ = 25930368.

The previous prime is 61461823. The next prime is 61461859. The reversal of 61461855 is 55816416.

It is not a de Polignac number, because 61461855 - 25 = 61461823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61461859) 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 63 ways as a sum of consecutive naturals, for example, 9784 + ... + 14786.

It is an arithmetic number, because the mean of its divisors is an integer number (2101680).

Almost surely, 261461855 is an apocalyptic number.

61461855 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61461855 is an abundant number, since it is smaller than the sum of its proper divisors (73045665).

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

61461855 is a wasteful number, since it uses less digits than its factorization.

61461855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5031 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 61461855 is about 7839.7611570762. The cubic root of 61461855 is about 394.6407137291.

It can be divided in two parts, 6146 and 1855, that added together give a triangular number (8001 = T126).

The spelling of 61461855 in words is "sixty-one million, four hundred sixty-one thousand, eight hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 5003 12285 15009 25015 35021 45027 65039 75045 105063 135081 175105 195117 225135 315189 325195 455273 525315 585351 675405 945567 975585 1365819 1575945 1756053 2276365 2926755 4097457 4727835 6829095 8780265 12292371 20487285 61461855