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81550752 = 2537910753
BaseRepresentation
bin1001101110001…
…01110110100000
312200110012121020
410313011312200
5131334111002
612031525440
72010112203
oct467056640
9180405536
1081550752
1142040318
1223389880
1313b841aa
14ab8b93a
15725d2bc
hex4dc5da0

81550752 has 48 divisors (see below), whose sum is σ = 216800640. Its totient is φ = 26836992.

The previous prime is 81550657. The next prime is 81550753. The reversal of 81550752 is 25705518.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (81550753) 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 7 ways as a sum of consecutive naturals, for example, 2208 + ... + 12960.

It is an arithmetic number, because the mean of its divisors is an integer number (4516680).

Almost surely, 281550752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81550752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108400320).

81550752 is an abundant number, since it is smaller than the sum of its proper divisors (135249888).

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

81550752 is a wasteful number, since it uses less digits than its factorization.

81550752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10845 (or 10837 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 81550752 is about 9030.5454984735. The cubic root of 81550752 is about 433.6533010914.

The spelling of 81550752 in words is "eighty-one million, five hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 10753 21506 32259 43012 64518 86024 129036 172048 258072 344096 516144 849487 1032288 1698974 2548461 3397948 5096922 6795896 10193844 13591792 20387688 27183584 40775376 81550752