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1454964736 = 2161492
BaseRepresentation
bin101011010111001…
…0000000000000000
310202101202212101211
41112232100000000
510434432332421
6400212535504
751024665461
oct12656200000
93671685354
101454964736
116873205a5
12347321594
131a25848a4
14db33cd68
1587b009e1
hex56b90000

1454964736 has 51 divisors (see below), whose sum is σ = 2929567921. Its totient is φ = 722599936.

The previous prime is 1454964701. The next prime is 1454964743. The reversal of 1454964736 is 6374694541.

The square root of 1454964736 is 38144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 170459136 + 1284505600 = 13056^2 + 35840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1454964736.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9764790 + ... + 9764938.

Almost surely, 21454964736 is an apocalyptic number.

1454964736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1454964736 is the 38144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454964736

1454964736 is an abundant number, since it is smaller than the sum of its proper divisors (1474603185).

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

1454964736 is an frugal number, since it uses more digits than its factorization.

1454964736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 151 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

The cubic root of 1454964736 is about 1133.1415272482.

Multiplying 1454964736 by its sum of digits (49), we get a square (71293272064 = 2670082).

The spelling of 1454964736 in words is "one billion, four hundred fifty-four million, nine hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1024 1192 2048 2384 4096 4768 8192 9536 16384 19072 22201 32768 38144 44402 65536 76288 88804 152576 177608 305152 355216 610304 710432 1220608 1420864 2441216 2841728 4882432 5683456 9764864 11366912 22733824 45467648 90935296 181870592 363741184 727482368 1454964736