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454643712 = 212334111
BaseRepresentation
bin11011000110010…
…101000000000000
31011200111021221000
4123012111000000
51412342044322
6113040332000
714160256605
oct3306250000
91150437830
10454643712
112136a8606
12108314000
1373264563
144454a6ac
1529da93ac
hex1b195000

454643712 has 104 divisors (see below), whose sum is σ = 1347255680. Its totient is φ = 151511040.

The previous prime is 454643689. The next prime is 454643719. The reversal of 454643712 is 217346454.

454643712 is a `hidden beast` number, since 4 + 5 + 4 + 643 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×4546437122 = 413401809722277888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454643719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108537 + ... + 112647.

Almost surely, 2454643712 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 454643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673627840).

454643712 is an abundant number, since it is smaller than the sum of its proper divisors (892611968).

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

454643712 is an equidigital number, since it uses as much as digits as its factorization.

454643712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4116 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 454643712 is about 21322.3758526108. The cubic root of 454643712 is about 768.9363579135.

The spelling of 454643712 in words is "four hundred fifty-four million, six hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4111 4608 6144 6912 8222 9216 12288 12333 13824 16444 18432 24666 27648 32888 36864 36999 49332 55296 65776 73998 98664 110592 110997 131552 147996 197328 221994 263104 295992 394656 443988 526208 591984 789312 887976 1052416 1183968 1578624 1775952 2104832 2367936 3157248 3551904 4209664 4735872 6314496 7103808 8419328 9471744 12628992 14207616 16838656 18943488 25257984 28415232 37886976 50515968 56830464 75773952 113660928 151547904 227321856 454643712