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80428464 = 2434229271
BaseRepresentation
bin1001100101100…
…11110110110000
312121100012010000
410302303312300
5131042202324
611551510000
71664426214
oct462636660
9177305100
1080428464
1141444106
1222b28300
131388040c
14a978944
1570da9c9
hex4cb3db0

80428464 has 100 divisors (see below), whose sum is σ = 234662560. Its totient is φ = 26593920.

The previous prime is 80428441. The next prime is 80428471. The reversal of 80428464 is 46482408.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 296649 + ... + 296919.

Almost surely, 280428464 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 80428464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117331280).

80428464 is an abundant number, since it is smaller than the sum of its proper divisors (154234096).

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

80428464 is a wasteful number, since it uses less digits than its factorization.

80428464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 80428464 is about 8968.1917909911. The cubic root of 80428464 is about 431.6548168526.

The spelling of 80428464 in words is "eighty million, four hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 229 271 324 432 458 542 648 687 813 916 1084 1296 1374 1626 1832 2061 2168 2439 2748 3252 3664 4122 4336 4878 5496 6183 6504 7317 8244 9756 10992 12366 13008 14634 16488 18549 19512 21951 24732 29268 32976 37098 39024 43902 49464 58536 62059 74196 87804 98928 117072 124118 148392 175608 186177 248236 296784 351216 372354 496472 558531 744708 992944 1117062 1489416 1675593 2234124 2978832 3351186 4468248 5026779 6702372 8936496 10053558 13404744 20107116 26809488 40214232 80428464