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789225948 = 223272541827
BaseRepresentation
bin101111000010101…
…010000111011100
32001000001211110200
4233002222013130
53104020212243
6210151503500
725362211200
oct5702520734
92030054420
10789225948
11375552155
121a0387b90
13c767cc04
1476b62b00
1549449ad3
hex2f0aa1dc

789225948 has 108 divisors (see below), whose sum is σ = 2327801112. Its totient is φ = 224804160.

The previous prime is 789225919. The next prime is 789225961. The reversal of 789225948 is 849522987.

789225948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 789225894 and 789225903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 953911 + ... + 954737.

It is an arithmetic number, because the mean of its divisors is an integer number (21553714).

Almost surely, 2789225948 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 789225948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163900556).

789225948 is an abundant number, since it is smaller than the sum of its proper divisors (1538575164).

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

789225948 is a wasteful number, since it uses less digits than its factorization.

789225948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1380 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 789225948 is about 28093.1655033747. The cubic root of 789225948 is about 924.1315239775.

The spelling of 789225948 in words is "seven hundred eighty-nine million, two hundred twenty-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 541 588 827 882 1082 1623 1654 1764 2164 2481 3246 3308 3787 4869 4962 5789 6492 7443 7574 9738 9924 11361 11578 14886 15148 17367 19476 22722 23156 26509 29772 34083 34734 40523 45444 52101 53018 68166 69468 79527 81046 104202 106036 121569 136332 159054 162092 208404 238581 243138 318108 364707 447407 477162 486276 729414 894814 954324 1342221 1458828 1789628 2684442 3131849 4026663 5368884 6263698 8053326 9395547 12527396 16106652 18791094 21922943 28186641 37582188 43845886 56373282 65768829 87691772 112746564 131537658 197306487 263075316 394612974 789225948