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452113024 = 2711232607
BaseRepresentation
bin11010111100101…
…011001010000000
31011111201201110211
4122330223022000
51411220104044
6112510203504
714126616526
oct3274531200
91144651424
10452113024
1121222a230
121074b3594
13728896cc
144408c316
1529a59634
hex1af2b280

452113024 has 96 divisors (see below), whose sum is σ = 1028845440. Its totient is φ = 196247040.

The previous prime is 452113007. The next prime is 452113049. The reversal of 452113024 is 420311254.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 452112986 and 452113004.

It is an unprimeable number.

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, 744529 + ... + 745135.

It is an arithmetic number, because the mean of its divisors is an integer number (10717140).

Almost surely, 2452113024 is an apocalyptic number.

452113024 is a gapful number since it is divisible by the number (44) 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 452113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514422720).

452113024 is an abundant number, since it is smaller than the sum of its proper divisors (576732416).

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

452113024 is a wasteful number, since it uses less digits than its factorization.

452113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 452113024 is about 21262.9495602092. The cubic root of 452113024 is about 767.5069897187.

Adding to 452113024 its reverse (420311254), we get a palindrome (872424278).

The spelling of 452113024 in words is "four hundred fifty-two million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 529 607 704 736 1012 1058 1214 1408 1472 2024 2116 2428 2944 4048 4232 4856 5819 6677 8096 8464 9712 11638 13354 13961 16192 16928 19424 23276 26708 27922 32384 33856 38848 46552 53416 55844 67712 77696 93104 106832 111688 153571 186208 213664 223376 307142 321103 372416 427328 446752 614284 642206 744832 854656 893504 1228568 1284412 1787008 2457136 2568824 3532133 4914272 5137648 7064266 9828544 10275296 14128532 19657088 20550592 28257064 41101184 56514128 113028256 226056512 452113024