Search a number
-
+
1225536928 = 257113531409
BaseRepresentation
bin100100100001100…
…0011010110100000
310011102001201121121
41021003003112200
510002214140203
6321335302024
742240614650
oct11103032640
93142051547
101225536928
11579869040
122a251a914
13166b95ba5
14b8a9a360
15728d20bd
hex490c35a0

1225536928 has 96 divisors (see below), whose sum is σ = 3018798720. Its totient is φ = 475791360.

The previous prime is 1225536913. The next prime is 1225536941. The reversal of 1225536928 is 8296355221.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 869088 + ... + 870496.

It is an arithmetic number, because the mean of its divisors is an integer number (31445820).

Almost surely, 21225536928 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 1225536928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509399360).

1225536928 is an abundant number, since it is smaller than the sum of its proper divisors (1793261792).

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

1225536928 is a wasteful number, since it uses less digits than its factorization.

1225536928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1782 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The square root of 1225536928 is about 35007.6695596836. The cubic root of 1225536928 is about 1070.1437859587.

The spelling of 1225536928 in words is "one billion, two hundred twenty-five million, five hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 353 616 706 1232 1409 1412 2464 2471 2818 2824 3883 4942 5636 5648 7766 9863 9884 11272 11296 15499 15532 19726 19768 22544 27181 30998 31064 39452 39536 45088 54362 61996 62128 78904 79072 108493 108724 123992 124256 157808 216986 217448 247984 315616 433972 434896 495968 497377 867944 869792 994754 1735888 1989508 3471776 3481639 3979016 5471147 6963278 7958032 10942294 13926556 15916064 21884588 27853112 38298029 43769176 55706224 76596058 87538352 111412448 153192116 175076704 306384232 612768464 1225536928