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453474048 = 2831747739
BaseRepresentation
bin11011000001110…
…111011100000000
31011121021212110010
4123001313130000
51412042132143
6112555304520
714144315526
oct3301673400
91147255403
10453474048
11212a79845
12107a4b140
1372c45051
1444324316
1529c27a33
hex1b077700

453474048 has 144 divisors (see below), whose sum is σ = 1306851840. Its totient is φ = 139051008.

The previous prime is 453473959. The next prime is 453474113. The reversal of 453474048 is 840474354.

It is a junction number, because it is equal to n+sod(n) for n = 453473997 and 453474015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613263 + ... + 614001.

It is an arithmetic number, because the mean of its divisors is an integer number (9075360).

Almost surely, 2453474048 is an apocalyptic number.

453474048 is a gapful number since it is divisible by the number (48) 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 453474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653425920).

453474048 is an abundant number, since it is smaller than the sum of its proper divisors (853377792).

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

453474048 is a wasteful number, since it uses less digits than its factorization.

453474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 453474048 is about 21294.9301008479. The cubic root of 453474048 is about 768.2763762244.

The spelling of 453474048 in words is "four hundred fifty-three million, four hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 64 68 94 96 102 128 136 141 188 192 204 256 272 282 376 384 408 544 564 739 752 768 799 816 1088 1128 1478 1504 1598 1632 2176 2217 2256 2397 2956 3008 3196 3264 4352 4434 4512 4794 5912 6016 6392 6528 8868 9024 9588 11824 12032 12563 12784 13056 17736 18048 19176 23648 25126 25568 34733 35472 36096 37689 38352 47296 50252 51136 69466 70944 75378 76704 94592 100504 102272 104199 138932 141888 150756 153408 189184 201008 204544 208398 277864 283776 301512 306816 402016 416796 555728 567552 590461 603024 613632 804032 833592 1111456 1180922 1206048 1608064 1667184 1771383 2222912 2361844 2412096 3216128 3334368 3542766 4445824 4723688 4824192 6668736 7085532 8891648 9447376 9648384 13337472 14171064 18894752 26674944 28342128 37789504 56684256 75579008 113368512 151158016 226737024 453474048