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453705728 = 21672343
BaseRepresentation
bin11011000010110…
…000000000000000
31011121201122020212
4123002300000000
51412122040403
6113004253252
714146302140
oct3302600000
91147648225
10453705728
11213117913
12107b41228
1372cc6638
1444384920
1529c714d8
hex1b0b0000

453705728 has 136 divisors (see below), whose sum is σ = 1107287808. Its totient is φ = 181665792.

The previous prime is 453705719. The next prime is 453705757. The reversal of 453705728 is 827507354.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10551275 + ... + 10551317.

Almost surely, 2453705728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553643904).

453705728 is an abundant number, since it is smaller than the sum of its proper divisors (653582080).

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

453705728 is an frugal number, since it uses more digits than its factorization.

453705728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The square root of 453705728 is about 21300.3691986782. The cubic root of 453705728 is about 768.4071914775.

The spelling of 453705728 in words is "four hundred fifty-three million, seven hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 56 64 86 92 112 128 161 172 184 224 256 301 322 344 368 448 512 602 644 688 736 896 989 1024 1204 1288 1376 1472 1792 1978 2048 2408 2576 2752 2944 3584 3956 4096 4816 5152 5504 5888 6923 7168 7912 8192 9632 10304 11008 11776 13846 14336 15824 16384 19264 20608 22016 23552 27692 28672 31648 32768 38528 41216 44032 47104 55384 57344 63296 65536 77056 82432 88064 94208 110768 114688 126592 154112 164864 176128 188416 221536 229376 253184 308224 329728 352256 376832 443072 458752 506368 616448 659456 704512 753664 886144 1012736 1232896 1318912 1409024 1507328 1772288 2025472 2465792 2637824 2818048 3544576 4050944 4931584 5275648 7089152 8101888 9863168 10551296 14178304 16203776 19726336 28356608 32407552 56713216 64815104 113426432 226852864 453705728