Search a number
-
+
457042656 = 2537680123
BaseRepresentation
bin11011001111011…
…110101011100000
31011212000011122210
4123033132223200
51414000331111
6113204002120
714216540610
oct3317365340
91155004583
10457042656
11214a96a04
12109090340
13738c4455
14449b2a40
152a1d00a6
hex1b3deae0

457042656 has 48 divisors (see below), whose sum is σ = 1371129984. Its totient is φ = 130583424.

The previous prime is 457042633. The next prime is 457042661. The reversal of 457042656 is 656240754.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339390 + ... + 340733.

It is an arithmetic number, because the mean of its divisors is an integer number (28565208).

Almost surely, 2457042656 is an apocalyptic number.

It is an amenable number.

457042656 is an abundant number, since it is smaller than the sum of its proper divisors (914087328).

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

457042656 is a wasteful number, since it uses less digits than its factorization.

457042656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680143 (or 680135 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 457042656 is about 21378.5559849116. Note that the first 3 decimals coincide. The cubic root of 457042656 is about 770.2864263024.

The spelling of 457042656 in words is "four hundred fifty-seven million, forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 680123 1360246 2040369 2720492 4080738 4760861 5440984 8161476 9521722 10881968 14282583 16322952 19043444 21763936 28565166 32645904 38086888 57130332 65291808 76173776 114260664 152347552 228521328 457042656