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82234656 = 2533713597
BaseRepresentation
bin1001110011011…
…00110100100000
312201201221202000
410321230310200
5132023002111
612054324000
72015661120
oct471546440
9181657660
1082234656
1142468129
1223659600
131406357a
14acc8c80
157345c56
hex4e6cd20

82234656 has 96 divisors (see below), whose sum is σ = 274135680. Its totient is φ = 23493888.

The previous prime is 82234651. The next prime is 82234667. The reversal of 82234656 is 65643228.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82234656.

It is not an unprimeable number, because it can be changed into a prime (82234651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751 + ... + 12846.

It is an arithmetic number, because the mean of its divisors is an integer number (2855580).

Almost surely, 282234656 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 82234656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137067840).

82234656 is an abundant number, since it is smaller than the sum of its proper divisors (191901024).

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

82234656 is a wasteful number, since it uses less digits than its factorization.

82234656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13623 (or 13609 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 82234656 is about 9068.3325920480. The cubic root of 82234656 is about 434.8621679846.

The spelling of 82234656 in words is "eighty-two million, two hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 13597 27194 40791 54388 81582 95179 108776 122373 163164 190358 217552 244746 285537 326328 367119 380716 435104 489492 571074 652656 734238 761432 856611 978984 1142148 1305312 1468476 1522864 1713222 1957968 2284296 2569833 2936952 3045728 3426444 3915936 4568592 5139666 5873904 6852888 9137184 10279332 11747808 13705776 20558664 27411552 41117328 82234656