Search a number
-
+
80427732 = 223711241193
BaseRepresentation
bin1001100101100…
…11101011010100
312121100011002220
410302303223110
5131042141412
611551502340
71664424120
oct462635324
9177304086
1080427732
1141443600
1222b279b0
131387cc98
14a978580
1570da68c
hex4cb3ad4

80427732 has 144 divisors (see below), whose sum is σ = 242745216. Its totient is φ = 20275200.

The previous prime is 80427719. The next prime is 80427769. The reversal of 80427732 is 23772408.

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

It is a junction number, because it is equal to n+sod(n) for n = 80427693 and 80427702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416628 + ... + 416820.

Almost surely, 280427732 is an apocalyptic number.

80427732 is a gapful number since it is divisible by the number (82) 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 80427732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121372608).

80427732 is an abundant number, since it is smaller than the sum of its proper divisors (162317484).

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

80427732 is a wasteful number, since it uses less digits than its factorization.

80427732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 80427732 is about 8968.1509799958. The cubic root of 80427732 is about 431.6535073151.

The spelling of 80427732 in words is "eighty million, four hundred twenty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 66 77 82 84 121 123 132 154 164 193 231 242 246 287 308 363 386 451 462 484 492 574 579 726 772 847 861 902 924 1148 1158 1351 1353 1452 1694 1722 1804 2123 2316 2541 2702 2706 3157 3388 3444 4053 4246 4961 5082 5404 5412 6314 6369 7913 8106 8492 9471 9922 10164 12628 12738 14861 14883 15826 16212 18942 19844 23353 23739 25476 29722 29766 31652 34727 37884 44583 46706 47478 55391 59444 59532 69454 70059 87043 89166 93412 94956 104181 110782 138908 140118 163471 166173 174086 178332 208362 221564 261129 280236 326942 332346 348172 416724 490413 522258 609301 653884 664692 957473 980826 1044516 1218602 1827903 1914946 1961652 2437204 2872419 3655806 3829892 5744838 6702311 7311612 11489676 13404622 20106933 26809244 40213866 80427732