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80252466 = 2371926779
BaseRepresentation
bin1001100100010…
…00111000110010
312121000020200120
410302020320302
5131021034331
611544031110
71663064130
oct462107062
9177006616
1080252466
1141333958
1222a62496
131381b288
14a930750
1570a3796
hex4c88e32

80252466 has 96 divisors (see below), whose sum is σ = 198973440. Its totient is φ = 21127392.

The previous prime is 80252429. The next prime is 80252467. The reversal of 80252466 is 66425208.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (80252467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015815 + ... + 1015893.

It is an arithmetic number, because the mean of its divisors is an integer number (2072640).

Almost surely, 280252466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80252466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99486720).

80252466 is an abundant number, since it is smaller than the sum of its proper divisors (118720974).

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

80252466 is a wasteful number, since it uses less digits than its factorization.

80252466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 80252466 is about 8958.3740712252. The cubic root of 80252466 is about 431.3397299529.

The spelling of 80252466 in words is "eighty million, two hundred fifty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 67 79 114 133 134 158 201 237 266 361 399 402 469 474 553 722 798 938 1083 1106 1273 1407 1501 1659 2166 2527 2546 2814 3002 3318 3819 4503 5054 5293 7581 7638 8911 9006 10507 10586 15162 15879 17822 21014 24187 26733 28519 31521 31758 37051 48374 53466 57038 63042 72561 74102 85557 100567 111153 145122 169309 171114 199633 201134 222306 301701 338618 399266 507927 598899 603402 703969 1015854 1197798 1407938 1910773 2111907 3821546 4223814 5732319 11464638 13375411 26750822 40126233 80252466