Search a number
-
+
80612928 = 2633114241
BaseRepresentation
bin1001100111000…
…00111001000000
312121200120011000
410303200321000
5131114103203
611555452000
71666125054
oct463407100
9177616130
1080612928
114155a760
1222bb7000
1313916376
14a9c5c64
1571254a3
hex4ce0e40

80612928 has 112 divisors (see below), whose sum is σ = 258592320. Its totient is φ = 24422400.

The previous prime is 80612923. The next prime is 80612941. The reversal of 80612928 is 82921608.

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 = 80612892 and 80612901.

It is not an unprimeable number, because it can be changed into a prime (80612923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16888 + ... + 21128.

It is an arithmetic number, because the mean of its divisors is an integer number (2308860).

Almost surely, 280612928 is an apocalyptic number.

80612928 is a gapful number since it is divisible by the number (88) 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 80612928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129296160).

80612928 is an abundant number, since it is smaller than the sum of its proper divisors (177979392).

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

80612928 is a wasteful number, since it uses less digits than its factorization.

80612928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 80612928 is about 8978.4702483218. The cubic root of 80612928 is about 431.9845673499.

The spelling of 80612928 in words is "eighty million, six hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4241 4752 6336 8482 9504 12723 16964 19008 25446 33928 38169 46651 50892 67856 76338 93302 101784 114507 135712 139953 152676 186604 203568 229014 271424 279906 305352 373208 407136 419859 458028 559812 610704 746416 814272 839718 916056 1119624 1221408 1259577 1492832 1679436 1832112 2239248 2442816 2519154 2985664 3358872 3664224 4478496 5038308 6717744 7328448 8956992 10076616 13435488 20153232 26870976 40306464 80612928