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428296576 = 275956713
BaseRepresentation
bin11001100001110…
…100100110000000
31002211220201110011
4121201310212000
51334120442301
6110255514304
713420314031
oct3141644600
91084821404
10428296576
111aa842614
12bb528994
136a96b136
1440c4ca88
1527902a51
hex19874980

428296576 has 32 divisors (see below), whose sum is σ = 867724200. Its totient is φ = 210514944.

The previous prime is 428296567. The next prime is 428296577. The reversal of 428296576 is 675692824.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428296577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20805 + ... + 35908.

Almost surely, 2428296576 is an apocalyptic number.

It is an amenable number.

428296576 is an abundant number, since it is smaller than the sum of its proper divisors (439427624).

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

428296576 is an equidigital number, since it uses as much as digits as its factorization.

428296576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56786 (or 56774 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The square root of 428296576 is about 20695.3273953325. The cubic root of 428296576 is about 753.7862321341.

The spelling of 428296576 in words is "four hundred twenty-eight million, two hundred ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 3776 7552 56713 113426 226852 453704 907408 1814816 3346067 3629632 6692134 7259264 13384268 26768536 53537072 107074144 214148288 428296576