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7250628 = 22372111959
BaseRepresentation
bin11011101010001011000100
3111122100222210
4123222023010
53324010003
6415223420
7115425600
oct33521304
914570883
107250628
114102560
122517b70
13166b318
14d6a500
15983503
hex6ea2c4

7250628 has 144 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 1753920.

The previous prime is 7250599. The next prime is 7250629. The reversal of 7250628 is 8260527.

It is a junction number, because it is equal to n+sod(n) for n = 7250595 and 7250604.

It is not an unprimeable number, because it can be changed into a prime (7250629) 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 47 ways as a sum of consecutive naturals, for example, 122863 + ... + 122921.

It is an arithmetic number, because the mean of its divisors is an integer number (159600).

Almost surely, 27250628 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 7250628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

7250628 is an abundant number, since it is smaller than the sum of its proper divisors (15731772).

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

7250628 is a wasteful number, since it uses less digits than its factorization.

7250628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7250628 is about 2692.6990177144. The cubic root of 7250628 is about 193.5494201701.

The spelling of 7250628 in words is "seven million, two hundred fifty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 49 57 59 66 76 77 84 98 114 118 132 133 147 154 177 196 209 228 231 236 266 294 308 354 399 413 418 462 532 539 588 627 649 708 798 826 836 924 931 1078 1121 1239 1254 1298 1463 1596 1617 1652 1862 1947 2156 2242 2478 2508 2596 2793 2891 2926 3234 3363 3724 3894 4389 4484 4543 4956 5586 5782 5852 6468 6726 7788 7847 8673 8778 9086 10241 11172 11564 12331 13452 13629 15694 17346 17556 18172 20482 23541 24662 27258 30723 31388 31801 34692 36993 40964 47082 49324 54516 54929 61446 63602 73986 86317 94164 95403 109858 122892 127204 147972 164787 172634 190806 219716 258951 329574 345268 381612 517902 604219 659148 1035804 1208438 1812657 2416876 3625314 7250628