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1048400028 = 2232134359883
BaseRepresentation
bin111110011111010…
…101000010011100
32201001202020110200
4332133111002130
54121342300103
6252010503500
734660152564
oct7637250234
92631666420
101048400028
11498881505
12253134b90
13139285260
149d349da4
15620920a3
hex3e7d509c

1048400028 has 144 divisors (see below), whose sum is σ = 2973210240. Its totient is φ = 309391488.

The previous prime is 1048400027. The next prime is 1048400057. The reversal of 1048400028 is 8200048401.

It is a junction number, because it is equal to n+sod(n) for n = 1048399974 and 1048400010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048400027) 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 47 ways as a sum of consecutive naturals, for example, 1186875 + ... + 1187757.

Almost surely, 21048400028 is an apocalyptic number.

1048400028 is a gapful number since it is divisible by the number (18) 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 1048400028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486605120).

1048400028 is an abundant number, since it is smaller than the sum of its proper divisors (1924810212).

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

1048400028 is a wasteful number, since it uses less digits than its factorization.

1048400028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1048400028 is about 32379.0059760951. The cubic root of 1048400028 is about 1015.8798385906.

Adding to 1048400028 its reverse (8200048401), we get a palindrome (9248448429).

The spelling of 1048400028 in words is "one billion, forty-eight million, four hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 59 78 86 117 118 129 156 172 177 234 236 258 354 387 468 516 531 559 708 767 774 883 1062 1118 1534 1548 1677 1766 2124 2236 2301 2537 2649 3068 3354 3532 4602 5031 5074 5298 6708 6903 7611 7947 9204 10062 10148 10596 11479 13806 15222 15894 20124 22833 22958 27612 30444 31788 32981 34437 37969 45666 45916 52097 65962 68874 75938 91332 98943 103311 104194 113907 131924 137748 151876 156291 197886 206622 208388 227814 296829 312582 341721 395772 413244 455628 468873 493597 593658 625164 677261 683442 937746 987194 1187316 1354522 1366884 1480791 1875492 1974388 2031783 2240171 2709044 2961582 4063566 4442373 4480342 5923164 6095349 6720513 8127132 8884746 8960684 12190698 13441026 17769492 20161539 24381396 26882052 29122223 40323078 58244446 80646156 87366669 116488892 174733338 262100007 349466676 524200014 1048400028