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457481472 = 2837431979
BaseRepresentation
bin11011010001001…
…001110100000000
31011212211110121020
4123101021310000
51414103401342
6113221225440
714223346140
oct3321116400
91155743536
10457481472
11215266668
12109262280
1373a190c6
1444a88920
152a26a0ec
hex1b449d00

457481472 has 144 divisors (see below), whose sum is σ = 1424586240. Its totient is φ = 127604736.

The previous prime is 457481459. The next prime is 457481501. The reversal of 457481472 is 274184754.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 230179 + ... + 232157.

It is an arithmetic number, because the mean of its divisors is an integer number (9892960).

Almost surely, 2457481472 is an apocalyptic number.

457481472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712293120).

457481472 is an abundant number, since it is smaller than the sum of its proper divisors (967104768).

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

457481472 is a wasteful number, since it uses less digits than its factorization.

457481472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2034 counting only the distinct ones).

The product of its digits is 250880, while the sum is 42.

The square root of 457481472 is about 21388.8165170493. The cubic root of 457481472 is about 770.5328700304.

The spelling of 457481472 in words is "four hundred fifty-seven million, four hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 256 258 301 336 344 384 448 516 602 672 688 768 896 903 1032 1204 1344 1376 1792 1806 1979 2064 2408 2688 2752 3612 3958 4128 4816 5376 5504 5937 7224 7916 8256 9632 11008 11874 13853 14448 15832 16512 19264 23748 27706 28896 31664 33024 38528 41559 47496 55412 57792 63328 77056 83118 85097 94992 110824 115584 126656 166236 170194 189984 221648 231168 253312 255291 332472 340388 379968 443296 506624 510582 595679 664944 680776 759936 886592 1021164 1191358 1329888 1361552 1519872 1773184 1787037 2042328 2382716 2659776 2723104 3546368 3574074 4084656 4765432 5319552 5446208 7148148 8169312 9530864 10639104 10892416 14296296 16338624 19061728 21784832 28592592 32677248 38123456 57185184 65354496 76246912 114370368 152493824 228740736 457481472