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454488064 = 2121761107
BaseRepresentation
bin11011000101101…
…111000000000000
31011200012101102021
4123011233000000
51412322104224
6113033131224
714156041042
oct3305570000
91150171367
10454488064
11213601678
12108259b14
137320b764
1444509a92
1529d781e4
hex1b16f000

454488064 has 104 divisors (see below), whose sum is σ = 987244848. Its totient is φ = 208404480.

The previous prime is 454488059. The next prime is 454488071. The reversal of 454488064 is 460884454.

It is a self number, because there is not a number n which added to its sum of digits gives 454488064.

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 7 ways as a sum of consecutive naturals, for example, 4247499 + ... + 4247605.

Almost surely, 2454488064 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 454488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493622424).

454488064 is an abundant number, since it is smaller than the sum of its proper divisors (532756784).

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

454488064 is a wasteful number, since it uses less digits than its factorization.

454488064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 43.

The square root of 454488064 is about 21318.7256654801. The cubic root of 454488064 is about 768.8485990350.

The spelling of 454488064 in words is "four hundred fifty-four million, four hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 107 122 128 136 214 244 256 272 428 488 512 544 856 976 1024 1037 1088 1712 1819 1952 2048 2074 2176 3424 3638 3904 4096 4148 4352 6527 6848 7276 7808 8296 8704 13054 13696 14552 15616 16592 17408 26108 27392 29104 31232 33184 34816 52216 54784 58208 62464 66368 69632 104432 109568 110959 116416 124928 132736 208864 219136 221918 232832 249856 265472 417728 438272 443836 465664 530944 835456 887672 931328 1061888 1670912 1775344 1862656 2123776 3341824 3550688 3725312 4247552 6683648 7101376 7450624 13367296 14202752 26734592 28405504 56811008 113622016 227244032 454488064