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1452930048 = 210355839
BaseRepresentation
bin101011010011001…
…1111010000000000
310202020221111100000
41112212133100000
510433422230143
6400101200000
751001462443
oct12646372000
93666844300
101452930048
11686160939
12346700000
131a202172b
14dad6d65a
158784cbd3
hex5699f400

1452930048 has 132 divisors (see below), whose sum is σ = 4351430720. Its totient is φ = 484227072.

The previous prime is 1452929999. The next prime is 1452930049. The reversal of 1452930048 is 8400392541.

It is a super-2 number, since 2×14529300482 = 4222011448762564608, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1452929994 and 1452930021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452930049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245913 + ... + 251751.

Almost surely, 21452930048 is an apocalyptic number.

1452930048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1452930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175715360).

1452930048 is an abundant number, since it is smaller than the sum of its proper divisors (2898500672).

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

1452930048 is an frugal number, since it uses more digits than its factorization.

1452930048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1452930048 is about 38117.3195280046. The cubic root of 1452930048 is about 1132.6130688389.

The spelling of 1452930048 in words is "one billion, four hundred fifty-two million, nine hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 5839 6912 7776 9216 10368 11678 13824 15552 17517 20736 23356 27648 31104 35034 41472 46712 52551 62208 70068 82944 93424 105102 124416 140136 157653 186848 210204 248832 280272 315306 373696 420408 472959 560544 630612 747392 840816 945918 1121088 1261224 1418877 1494784 1681632 1891836 2242176 2522448 2837754 2989568 3363264 3783672 4484352 5044896 5675508 5979136 6726528 7567344 8968704 10089792 11351016 13453056 15134688 17937408 20179584 22702032 26906112 30269376 40359168 45404064 53812224 60538752 80718336 90808128 121077504 161436672 181616256 242155008 363232512 484310016 726465024 1452930048