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1453042656 = 253213388099
BaseRepresentation
bin101011010011011…
…1010101111100000
310202021011012210200
41112212322233200
510433434331111
6400103425200
751002441652
oct12646725740
93667135720
101453042656
116862284aa
12346755200
131a2060a70
14dad9c6d2
1587871256
hex569babe0

1453042656 has 72 divisors (see below), whose sum is σ = 4449954600. Its totient is φ = 447088896.

The previous prime is 1453042639. The next prime is 1453042681. The reversal of 1453042656 is 6562403541.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×14530426562 = 4222665920311068672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1453042656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190306 + ... + 197793.

It is an arithmetic number, because the mean of its divisors is an integer number (61804925).

Almost surely, 21453042656 is an apocalyptic number.

1453042656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1453042656 is an abundant number, since it is smaller than the sum of its proper divisors (2996911944).

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

1453042656 is a wasteful number, since it uses less digits than its factorization.

1453042656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388128 (or 388117 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1453042656 is about 38118.7966231884. The cubic root of 1453042656 is about 1132.6423287925.

The spelling of 1453042656 in words is "one billion, four hundred fifty-three million, forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 388099 776198 1164297 1552396 2328594 3104792 3492891 4657188 5045287 6209584 6985782 9314376 10090574 12419168 13971564 15135861 18628752 20181148 27943128 30271722 37257504 40362296 45407583 55886256 60543444 80724592 90815166 111772512 121086888 161449184 181630332 242173776 363260664 484347552 726521328 1453042656