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80101252 = 227111391871
BaseRepresentation
bin1001100011000…
…11111110000100
312120201120021001
410301203332010
5131001220002
611540503044
71661564230
oct461437604
9176646231
1080101252
1141240290
12229aaa84
13137974ba
14a8d15c0
157073a87
hex4c63f84

80101252 has 48 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 30967200.

The previous prime is 80101211. The next prime is 80101253. The reversal of 80101252 is 25210108.

It is not an unprimeable number, because it can be changed into a prime (80101253) 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 15 ways as a sum of consecutive naturals, for example, 41877 + ... + 43747.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 280101252 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 80101252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

80101252 is an abundant number, since it is smaller than the sum of its proper divisors (96016508).

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

80101252 is a wasteful number, since it uses less digits than its factorization.

80101252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 80101252 is about 8949.9302790580. The cubic root of 80101252 is about 431.0686453863.

The spelling of 80101252 in words is "eighty million, one hundred one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 139 154 278 308 556 973 1529 1871 1946 3058 3742 3892 6116 7484 10703 13097 20581 21406 26194 41162 42812 52388 82324 144067 260069 288134 520138 576268 1040276 1820483 2860759 3640966 5721518 7281932 11443036 20025313 40050626 80101252