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4400253520 = 2451329145897
BaseRepresentation
bin1000001100100011…
…01000101001010000
3102100122212001001121
410012101220221100
533002431103040
62004344412024
7214020352315
oct40621505120
912318761047
104400253520
111958912663
12a29777014
13551821510
142da582d0c
151ab488c4a
hex106468a50

4400253520 has 80 divisors (see below), whose sum is σ = 11397551760. Its totient is φ = 1568673792.

The previous prime is 4400253499. The next prime is 4400253523. The reversal of 4400253520 is 253520044.

It can be written as a sum of positive squares in 8 ways, for example, as 490002496 + 3910251024 = 22136^2 + 62532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400253523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42789 + ... + 103108.

It is an arithmetic number, because the mean of its divisors is an integer number (142469397).

Almost surely, 24400253520 is an apocalyptic number.

4400253520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400253520 is an abundant number, since it is smaller than the sum of its proper divisors (6997298240).

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

4400253520 is a wasteful number, since it uses less digits than its factorization.

4400253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145952 (or 145946 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 4400253520 is about 66334.4067584839. The cubic root of 4400253520 is about 1638.6740124648.

Adding to 4400253520 its reverse (253520044), we get a palindrome (4653773564).

The spelling of 4400253520 in words is "four billion, four hundred million, two hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 145897 291794 583588 729485 1167176 1458970 1896661 2334352 2917940 3793322 4231013 5835880 7586644 8462026 9483305 11671760 15173288 16924052 18966610 21155065 30346576 33848104 37933220 42310130 55003169 67696208 75866440 84620260 110006338 151732880 169240520 220012676 275015845 338481040 440025352 550031690 880050704 1100063380 2200126760 4400253520