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1483916496 = 243831732153
BaseRepresentation
bin101100001110010…
…1100010011010000
310211102020202202020
41120130230103100
511014340311441
6403125251440
751526040106
oct13034542320
93742222666
101483916496
116a16a5477
12354b63b80
131a85806ca
14101117c76
158a41de66
hex5872c4d0

1483916496 has 80 divisors (see below), whose sum is σ = 3903875136. Its totient is φ = 485628928.

The previous prime is 1483916471. The next prime is 1483916503. The reversal of 1483916496 is 6946193841.

It is a super-3 number, since 3×14839164963 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688156 + ... + 690308.

Almost surely, 21483916496 is an apocalyptic number.

1483916496 is a gapful number since it is divisible by the number (16) 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 1483916496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951937568).

1483916496 is an abundant number, since it is smaller than the sum of its proper divisors (2419958640).

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

1483916496 is a wasteful number, since it uses less digits than its factorization.

1483916496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2414 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 1483916496 is about 38521.6367253522. The cubic root of 1483916496 is about 1140.6081950121.

The spelling of 1483916496 in words is "one billion, four hundred eighty-three million, nine hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 173 249 332 346 498 519 664 692 996 1038 1328 1384 1992 2076 2153 2768 3984 4152 4306 6459 8304 8612 12918 14359 17224 25836 28718 34448 43077 51672 57436 86154 103344 114872 172308 178699 229744 344616 357398 372469 536097 689232 714796 744938 1072194 1117407 1429592 1489876 2144388 2234814 2859184 2979752 4288776 4469628 5959504 8577552 8939256 17878512 30914927 61829854 92744781 123659708 185489562 247319416 370979124 494638832 741958248 1483916496