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1413303552 = 28367573
BaseRepresentation
bin101010000111101…
…0100110100000000
310122111101021000000
41110033110310000
510343301203202
6352124000000
750010611343
oct12417246400
93574337000
101413303552
11665855971
12335390000
13196a58bbb
14d59b645a
158412191c
hex543d4d00

1413303552 has 126 divisors (see below), whose sum is σ = 4230253202. Its totient is φ = 471038976.

The previous prime is 1413303539. The next prime is 1413303557. The reversal of 1413303552 is 2553033141.

It can be written as a sum of positive squares in only one way, i.e., 1412557056 + 746496 = 37584^2 + 864^2 .

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413303557) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 182838 + ... + 190410.

Almost surely, 21413303552 is an apocalyptic number.

1413303552 is a gapful number since it is divisible by the number (12) 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 1413303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115126601).

1413303552 is an abundant number, since it is smaller than the sum of its proper divisors (2816949650).

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

1413303552 is an frugal number, since it uses more digits than its factorization.

1413303552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7607 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1413303552 is about 37593.9297227624. The cubic root of 1413303552 is about 1122.2212380796.

Adding to 1413303552 its reverse (2553033141), we get a palindrome (3966336693).

The spelling of 1413303552 in words is "one billion, four hundred thirteen million, three hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7573 7776 10368 11664 15146 15552 20736 22719 23328 30292 31104 45438 46656 60584 62208 68157 90876 93312 121168 136314 181752 186624 204471 242336 272628 363504 408942 484672 545256 613413 727008 817884 969344 1090512 1226826 1454016 1635768 1840239 1938688 2181024 2453652 2908032 3271536 3680478 4362048 4907304 5520717 5816064 6543072 7360956 8724096 9814608 11041434 13086144 14721912 17448192 19629216 22082868 26172288 29443824 39258432 44165736 52344576 58887648 78516864 88331472 117775296 157033728 176662944 235550592 353325888 471101184 706651776 1413303552