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428308992 = 293330983
BaseRepresentation
bin11001100001110…
…111101000000000
31002211221100111000
4121201313220000
51334121341432
6110300052000
713420365156
oct3141675000
91084840430
10428308992
111aa850981
12bb534000
136a973997
1440c533d6
152790657c
hex19877a00

428308992 has 80 divisors (see below), whose sum is σ = 1267865280. Its totient is φ = 142765056.

The previous prime is 428308973. The next prime is 428308997. The reversal of 428308992 is 299803824.

It is not an unprimeable number, because it can be changed into a prime (428308997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1668 + ... + 29315.

It is an arithmetic number, because the mean of its divisors is an integer number (15848316).

Almost surely, 2428308992 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 428308992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633932640).

428308992 is an abundant number, since it is smaller than the sum of its proper divisors (839556288).

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

428308992 is an equidigital number, since it uses as much as digits as its factorization.

428308992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31010 (or 30988 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 428308992 is about 20695.6273642526. The cubic root of 428308992 is about 753.7935159649.

The spelling of 428308992 in words is "four hundred twenty-eight million, three hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 30983 61966 92949 123932 185898 247864 278847 371796 495728 557694 743592 836541 991456 1115388 1487184 1673082 1982912 2230776 2974368 3346164 3965824 4461552 5948736 6692328 7931648 8923104 11897472 13384656 15863296 17846208 23794944 26769312 35692416 47589888 53538624 71384832 107077248 142769664 214154496 428308992