Search a number
-
+
80645544 = 2334723773
BaseRepresentation
bin1001100111010…
…00110110101000
312121202012220000
410303220312220
5131121124134
612000303000
71666322130
oct463506650
9177665800
1080645544
1141582211
1223011a60
1313928175
14a9d3ac0
15712ee99
hex4ce8da8

80645544 has 160 divisors (see below), whose sum is σ = 269723520. Its totient is φ = 22011264.

The previous prime is 80645527. The next prime is 80645581. The reversal of 80645544 is 44554608.

80645544 is a `hidden beast` number, since 8 + 0 + 645 + 5 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 80645499 and 80645508.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 103942 + ... + 104714.

It is an arithmetic number, because the mean of its divisors is an integer number (1685772).

Almost surely, 280645544 is an apocalyptic number.

80645544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80645544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134861760).

80645544 is an abundant number, since it is smaller than the sum of its proper divisors (189077976).

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

80645544 is a wasteful number, since it uses less digits than its factorization.

80645544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 80645544 is about 8980.2864096865. The cubic root of 80645544 is about 432.0428198296.

The spelling of 80645544 in words is "eighty million, six hundred forty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 773 828 966 1134 1242 1288 1449 1512 1546 1656 1863 1932 2268 2319 2484 2898 3092 3726 3864 4347 4536 4638 4968 5411 5796 6184 6957 7452 8694 9276 10822 11592 13041 13914 14904 16233 17388 17779 18552 20871 21644 26082 27828 32466 34776 35558 41742 43288 48699 52164 53337 55656 62613 64932 71116 83484 97398 104328 106674 124453 125226 129864 142232 146097 160011 166968 194796 213348 248906 250452 292194 320022 373359 389592 426696 438291 480033 497812 500904 584388 640044 746718 876582 960066 995624 1120077 1168776 1280088 1440099 1493436 1753164 1920132 2240154 2880198 2986872 3360231 3506328 3840264 4480308 5760396 6720462 8960616 10080693 11520792 13440924 20161386 26881848 40322772 80645544