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28306484400 = 2435231760927
BaseRepresentation
bin11010010111001100…
…101010110010110000
32201001201122101201010
4122113030222302300
5430432430000100
621000454110520
72021314101405
oct322714526260
981051571633
1028306484400
11110062aa767
12559b94b440
13289157916c
1415275702ac
15b0a106750
hex69732acb0

28306484400 has 120 divisors (see below), whose sum is σ = 93600231424. Its totient is φ = 7304889600.

The previous prime is 28306484351. The next prime is 28306484407. The reversal of 28306484400 is 448460382.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (28306484407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 343264 + ... + 417663.

Almost surely, 228306484400 is an apocalyptic number.

28306484400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28306484400 is an abundant number, since it is smaller than the sum of its proper divisors (65293747024).

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

28306484400 is a wasteful number, since it uses less digits than its factorization.

28306484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760979 (or 760968 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 28306484400 in words is "twenty-eight billion, three hundred six million, four hundred eighty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 150 155 186 200 240 248 300 310 372 400 465 496 600 620 744 775 930 1200 1240 1488 1550 1860 2325 2480 3100 3720 4650 6200 7440 9300 12400 18600 37200 760927 1521854 2282781 3043708 3804635 4565562 6087416 7609270 9131124 11413905 12174832 15218540 18262248 19023175 22827810 23588737 30437080 36524496 38046350 45655620 47177474 57069525 60874160 70766211 76092700 91311240 94354948 114139050 117943685 141532422 152185400 182622480 188709896 228278100 235887370 283064844 304370800 353831055 377419792 456556200 471774740 566129688 589718425 707662110 913112400 943549480 1132259376 1179436850 1415324220 1769155275 1887098960 2358873700 2830648440 3538310550 4717747400 5661296880 7076621100 9435494800 14153242200 28306484400