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81610752 = 211337359
BaseRepresentation
bin1001101110101…
…00100000000000
312200120020220110
410313110200000
5131343021002
612033111320
72010452136
oct467244000
9180506813
1081610752
1142081403
12233b8540
1313ba55b2
14aba5756
157270e6c
hex4dd4800

81610752 has 96 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 26394624.

The previous prime is 81610733. The next prime is 81610769. The reversal of 81610752 is 25701618.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227149 + ... + 227507.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 281610752 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 81610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

81610752 is an abundant number, since it is smaller than the sum of its proper divisors (142467648).

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

81610752 is a wasteful number, since it uses less digits than its factorization.

81610752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 81610752 is about 9033.8669461090. The cubic root of 81610752 is about 433.7596267799.

The spelling of 81610752 in words is "eighty-one million, six hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 359 384 444 512 592 718 768 888 1024 1077 1184 1436 1536 1776 2048 2154 2368 2872 3072 3552 4308 4736 5744 6144 7104 8616 9472 11488 13283 14208 17232 18944 22976 26566 28416 34464 37888 39849 45952 53132 56832 68928 75776 79698 91904 106264 113664 137856 159396 183808 212528 227328 275712 318792 367616 425056 551424 637584 735232 850112 1102848 1275168 1700224 2205696 2550336 3400448 5100672 6800896 10201344 13601792 20402688 27203584 40805376 81610752