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80217258 = 231137107307
BaseRepresentation
bin1001100100000…
…00010010101010
312120221110101120
410302000102222
5131013423013
611543200110
71662556362
oct462002252
9176843346
1080217258
114130a460
1222a46036
1313808244
14a9219a2
157098123
hex4c804aa

80217258 has 64 divisors (see below), whose sum is σ = 182020608. Its totient is φ = 23353920.

The previous prime is 80217251. The next prime is 80217283. The reversal of 80217258 is 85271208.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (80217251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261141 + ... + 261447.

It is an arithmetic number, because the mean of its divisors is an integer number (2844072).

Almost surely, 280217258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80217258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91010304).

80217258 is an abundant number, since it is smaller than the sum of its proper divisors (101803350).

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

80217258 is a wasteful number, since it uses less digits than its factorization.

80217258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 80217258 is about 8956.4087669110. The cubic root of 80217258 is about 431.2766422524.

The spelling of 80217258 in words is "eighty million, two hundred seventeen thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 37 66 74 107 111 214 222 307 321 407 614 642 814 921 1177 1221 1842 2354 2442 3377 3531 3959 6754 7062 7918 10131 11359 11877 20262 22718 23754 32849 34077 43549 65698 68154 87098 98547 124949 130647 197094 249898 261294 361339 374847 722678 749694 1084017 1215413 2168034 2430826 3646239 7292478 13369543 26739086 40108629 80217258