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2557004928 = 27353125639
BaseRepresentation
bin1001100001101000…
…1100110010000000
320121012110022100020
42120122030302000
520214043124203
61101421253440
7120236116602
oct23032146200
96535408306
102557004928
1110a23a9715
125b4404280
1331999b08a
141a384d172
15ee73b153
hex9868cc80

2557004928 has 64 divisors (see below), whose sum is σ = 6920251200. Its totient is φ = 836246528.

The previous prime is 2557004909. The next prime is 2557004999. The reversal of 2557004928 is 8294007552.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2557004928.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42468 + ... + 83171.

It is an arithmetic number, because the mean of its divisors is an integer number (108128925).

Almost surely, 22557004928 is an apocalyptic number.

It is an amenable number.

2557004928 is an abundant number, since it is smaller than the sum of its proper divisors (4363246272).

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

2557004928 is a wasteful number, since it uses less digits than its factorization.

2557004928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125709 (or 125697 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 2557004928 is about 50566.8362466943. The cubic root of 2557004928 is about 1367.4470594583.

The spelling of 2557004928 in words is "two billion, five hundred fifty-seven million, four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 20352 125639 251278 376917 502556 753834 1005112 1507668 2010224 3015336 4020448 6030672 6658867 8040896 12061344 13317734 16081792 19976601 24122688 26635468 39953202 48245376 53270936 79906404 106541872 159812808 213083744 319625616 426167488 639251232 852334976 1278502464 2557004928