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455081984 = 221731
BaseRepresentation
bin11011001000000…
…000000000000000
31011201022120010022
4123020000000000
51413000110414
6113053553012
714164063430
oct3310000000
91151276108
10455081984
11213977915
121084a5768
1373388ba6
14446222c0
1529e4418e
hex1b200000

455081984 has 88 divisors (see below), whose sum is σ = 1073741568. Its totient is φ = 188743680.

The previous prime is 455081983. The next prime is 455082013. The reversal of 455081984 is 489180554.

It is a super-2 number, since 2×4550819842 = 414199224322752512, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455081983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14680049 + ... + 14680079.

Almost surely, 2455081984 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 455081984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536870784).

455081984 is an abundant number, since it is smaller than the sum of its proper divisors (618659584).

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

455081984 is an frugal number, since it uses more digits than its factorization.

455081984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The square root of 455081984 is about 21332.6506557437. The cubic root of 455081984 is about 769.1833608854.

The spelling of 455081984 in words is "four hundred fifty-five million, eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 2048 3472 3584 3968 4096 6944 7168 7936 8192 13888 14336 15872 16384 27776 28672 31744 32768 55552 57344 63488 65536 111104 114688 126976 131072 222208 229376 253952 262144 444416 458752 507904 524288 888832 917504 1015808 1048576 1777664 1835008 2031616 2097152 3555328 3670016 4063232 7110656 7340032 8126464 14221312 14680064 16252928 28442624 32505856 56885248 65011712 113770496 227540992 455081984