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61082550 = 23252149911
BaseRepresentation
bin1110100100000…
…0101110110110
311020221022111200
43221000232312
5111114120200
610021113330
71341123144
oct351005666
9136838450
1061082550
1131530251
1218558846
13c868929
148180594
155568800
hex3a40bb6

61082550 has 72 divisors (see below), whose sum is σ = 165391200. Its totient is φ = 16161600.

The previous prime is 61082543. The next prime is 61082551. The reversal of 61082550 is 5528016.

61082550 is a `hidden beast` number, since 6 + 108 + 2 + 550 = 666.

61082550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61082551) 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 35 ways as a sum of consecutive naturals, for example, 66595 + ... + 67505.

It is an arithmetic number, because the mean of its divisors is an integer number (2297100).

Almost surely, 261082550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61082550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82695600).

61082550 is an abundant number, since it is smaller than the sum of its proper divisors (104308650).

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

61082550 is a wasteful number, since it uses less digits than its factorization.

61082550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 61082550 is about 7815.5326114092. The cubic root of 61082550 is about 393.8272108602.

The spelling of 61082550 in words is "sixty-one million, eighty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 149 150 225 298 447 450 745 894 911 1341 1490 1822 2235 2682 2733 3725 4470 4555 5466 6705 7450 8199 9110 11175 13410 13665 16398 22350 22775 27330 33525 40995 45550 67050 68325 81990 135739 136650 204975 271478 407217 409950 678695 814434 1221651 1357390 2036085 2443302 3393475 4072170 6108255 6786950 10180425 12216510 20360850 30541275 61082550