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1325028432 = 243713439691
BaseRepresentation
bin100111011111010…
…0101010001010000
310102100021102022010
41032332211101100
510203201402212
6335251542520
744556361440
oct11676452120
93370242263
101325028432
1161aa42522
1230b8baa40
1318168c0c0
14c7d98120
157b4d603c
hex4efa5450

1325028432 has 160 divisors (see below), whose sum is σ = 4228618240. Its totient is φ = 348157440.

The previous prime is 1325028427. The next prime is 1325028449. The reversal of 1325028432 is 2348205231.

It is a self number, because there is not a number n which added to its sum of digits gives 1325028432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917207 + ... + 1917897.

It is an arithmetic number, because the mean of its divisors is an integer number (26428864).

Almost surely, 21325028432 is an apocalyptic number.

1325028432 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 1325028432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114309120).

1325028432 is an abundant number, since it is smaller than the sum of its proper divisors (2903589808).

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

1325028432 is a wasteful number, since it uses less digits than its factorization.

1325028432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1325028432 is about 36400.9399878630. The cubic root of 1325028432 is about 1098.3524735921.

The spelling of 1325028432 in words is "one billion, three hundred twenty-five million, twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 439 546 624 691 728 878 1092 1317 1382 1456 1756 2073 2184 2634 2764 3073 3512 4146 4368 4837 5268 5528 5707 6146 7024 8292 8983 9219 9674 10536 11056 11414 12292 14511 16584 17121 17966 18438 19348 21072 22828 24584 26949 29022 33168 34242 35932 36876 38696 39949 45656 49168 53898 58044 62881 68484 71864 73752 77392 79898 91312 107796 116088 119847 125762 136968 143728 147504 159796 188643 215592 232176 239694 251524 273936 303349 319592 377286 431184 479388 503048 606698 639184 754572 910047 958776 1006096 1213396 1509144 1820094 1917552 2123443 2426792 3018288 3640188 3943537 4246886 4853584 6370329 7280376 7887074 8493772 11830611 12740658 14560752 15774148 16987544 23661222 25481316 27604759 31548296 33975088 47322444 50962632 55209518 63096592 82814277 94644888 101925264 110419036 165628554 189289776 220838072 331257108 441676144 662514216 1325028432