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4503023252 = 227132591272
BaseRepresentation
bin1000011000110011…
…01010111010010100
3102121211020021121222
410030121222322110
533210233221002
62022455225512
7216406031450
oct41431527224
912554207558
104503023252
111a00926022
12a58078298
13569bc4900
1430a095660
151b54d91a2
hex10c66ae94

4503023252 has 108 divisors (see below), whose sum is σ = 9996104160. Its totient is φ = 1737433152.

The previous prime is 4503023251. The next prime is 4503023293. The reversal of 4503023252 is 2523203054.

It is a super-3 number, since 3×45030232523 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4503023251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35456813 + ... + 35456939.

It is an arithmetic number, because the mean of its divisors is an integer number (92556520).

Almost surely, 24503023252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4503023252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998052080).

4503023252 is an abundant number, since it is smaller than the sum of its proper divisors (5493080908).

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

4503023252 is a wasteful number, since it uses less digits than its factorization.

4503023252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 4503023252 is about 67104.5695314410. The cubic root of 4503023252 is about 1651.3332660567. Note that the first 3 decimals are identical.

The spelling of 4503023252 in words is "four billion, five hundred three million, twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 127 169 182 236 254 338 364 413 508 676 767 826 889 1183 1534 1651 1652 1778 2366 3068 3302 3556 4732 5369 6604 7493 9971 10738 11557 14986 16129 19942 21463 21476 23114 29972 32258 39884 42926 46228 52451 64516 69797 85852 97409 104902 112903 139594 150241 194818 209677 209804 225806 279188 300482 389636 419354 451612 600964 681863 838708 951611 1266317 1363726 1467739 1903222 2532634 2725801 2727452 2935478 3806444 5065268 5451602 5870956 6661277 8864219 10903204 12370943 13322554 17728438 19080607 24741886 26645108 35456876 38161214 49483772 76322428 86596601 160822259 173193202 321644518 346386404 643289036 1125755813 2251511626 4503023252