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428087296 = 2117132297
BaseRepresentation
bin11001100001000…
…001100000000000
31002211112002101001
4121201001200000
51334042243141
6110251221344
713415452630
oct3141014000
91084462331
10428087296
111aa70a35a
12bb447854
136a8c6ac0
1440bd66c0
15278b0a31
hex19841800

428087296 has 96 divisors (see below), whose sum is σ = 1053954720. Its totient is φ = 169279488.

The previous prime is 428087249. The next prime is 428087323. The reversal of 428087296 is 692780824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185220 + ... + 187516.

It is an arithmetic number, because the mean of its divisors is an integer number (10978695).

Almost surely, 2428087296 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 428087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526977360).

428087296 is an abundant number, since it is smaller than the sum of its proper divisors (625867424).

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

428087296 is a wasteful number, since it uses less digits than its factorization.

428087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 428087296 is about 20690.2705637215. The cubic root of 428087296 is about 753.6634370953.

The spelling of 428087296 in words is "four hundred twenty-eight million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2297 2912 3328 3584 4594 5824 6656 7168 9188 11648 13312 14336 16079 18376 23296 26624 29861 32158 36752 46592 59722 64316 73504 93184 119444 128632 147008 186368 209027 238888 257264 294016 418054 477776 514528 588032 836108 955552 1029056 1176064 1672216 1911104 2058112 2352128 3344432 3822208 4116224 4704256 6688864 7644416 8232448 13377728 15288832 16464896 26755456 30577664 32929792 53510912 61155328 107021824 214043648 428087296