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428893056 = 273513789
BaseRepresentation
bin11001100100000…
…110001110000000
31002220001000200000
4121210012032000
51334244034211
6110320400000
713425350034
oct3144061600
91086030600
10428893056
1120010a779
12bb776000
136ab19797
1440d661c4
15279be656
hex19906380

428893056 has 96 divisors (see below), whose sum is σ = 1279987800. Its totient is φ = 142953984.

The previous prime is 428893043. The next prime is 428893067. The reversal of 428893056 is 650398824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24210 + ... + 37998.

Almost surely, 2428893056 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 428893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639993900).

428893056 is an abundant number, since it is smaller than the sum of its proper divisors (851094744).

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

428893056 is an equidigital number, since it uses as much as digits as its factorization.

428893056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13818 (or 13794 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 428893056 is about 20709.7333638075. The cubic root of 428893056 is about 754.1359974396.

It can be divided in two parts, 4288 and 93056, that added together give a square (97344 = 3122).

The spelling of 428893056 in words is "four hundred twenty-eight million, eight hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 13789 15552 27578 31104 41367 55156 82734 110312 124101 165468 220624 248202 330936 372303 441248 496404 661872 744606 882496 992808 1116909 1323744 1489212 1764992 1985616 2233818 2647488 2978424 3350727 3971232 4467636 5294976 5956848 6701454 7942464 8935272 11913696 13402908 15884928 17870544 23827392 26805816 35741088 47654784 53611632 71482176 107223264 142964352 214446528 428893056