Search a number
-
+
80673408 = 273431251
BaseRepresentation
bin1001100111011…
…11101010000000
312121210122010000
410303233222000
5131123022113
612001040000
71666466304
oct463575200
9177718100
1080673408
11415a1142
1223026000
1313937a5a
14a9ddd04
157138373
hex4cefa80

80673408 has 160 divisors (see below), whose sum is σ = 248814720. Its totient is φ = 25920000.

The previous prime is 80673391. The next prime is 80673433. The reversal of 80673408 is 80437608.

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

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 19 ways as a sum of consecutive naturals, for example, 321283 + ... + 321533.

It is an arithmetic number, because the mean of its divisors is an integer number (1555092).

Almost surely, 280673408 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 80673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124407360).

80673408 is an abundant number, since it is smaller than the sum of its proper divisors (168141312).

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

80673408 is a wasteful number, since it uses less digits than its factorization.

80673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 80673408 is about 8981.8376738839. The cubic root of 80673408 is about 432.0925727539.

The spelling of 80673408 in words is "eighty million, six hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 251 279 288 324 372 384 432 496 502 558 576 648 744 753 837 864 992 1004 1116 1152 1296 1488 1506 1674 1728 1984 2008 2232 2259 2511 2592 2976 3012 3348 3456 3968 4016 4464 4518 5022 5184 5952 6024 6696 6777 7781 8032 8928 9036 10044 10368 11904 12048 13392 13554 15562 16064 17856 18072 20088 20331 23343 24096 26784 27108 31124 32128 35712 36144 40176 40662 46686 48192 53568 54216 62248 70029 72288 80352 81324 93372 96384 107136 108432 124496 140058 144576 160704 162648 186744 210087 216864 248992 280116 289152 321408 325296 373488 420174 433728 497984 560232 630261 650592 746976 840348 867456 995968 1120464 1260522 1301184 1493952 1680696 2240928 2521044 2602368 2987904 3361392 4481856 5042088 6722784 8963712 10084176 13445568 20168352 26891136 40336704 80673408