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1027998496 = 25719298329
BaseRepresentation
bin111101010001100…
…000001100100000
32122122100201211101
4331101200030200
54101131422441
6250001324144
734321562110
oct7521401440
92578321741
101027998496
11488307538
12248336654
13134c91145
149a759040
15603b2231
hex3d460320

1027998496 has 96 divisors (see below), whose sum is σ = 2518992000. Its totient is φ = 402941952.

The previous prime is 1027998493. The next prime is 1027998539. The reversal of 1027998496 is 6948997201.

It is not an unprimeable number, because it can be changed into a prime (1027998493) 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 15 ways as a sum of consecutive naturals, for example, 119260 + ... + 127588.

It is an arithmetic number, because the mean of its divisors is an integer number (26239500).

Almost surely, 21027998496 is an apocalyptic number.

1027998496 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 1027998496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259496000).

1027998496 is an abundant number, since it is smaller than the sum of its proper divisors (1490993504).

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

1027998496 is a wasteful number, since it uses less digits than its factorization.

1027998496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The square root of 1027998496 is about 32062.4156295186. The cubic root of 1027998496 is about 1009.2470603094.

The spelling of 1027998496 in words is "one billion, twenty-seven million, nine hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 76 112 116 133 152 203 224 232 266 304 406 464 532 551 608 812 928 1064 1102 1624 2128 2204 3248 3857 4256 4408 6496 7714 8329 8816 15428 16658 17632 30856 33316 58303 61712 66632 116606 123424 133264 158251 233212 241541 266528 316502 466424 483082 633004 932848 966164 1107757 1266008 1690787 1865696 1932328 2215514 2532016 3381574 3864656 4431028 4589279 5064032 6763148 7729312 8862056 9178558 13526296 17724112 18357116 27052592 32124953 35448224 36714232 54105184 64249906 73428464 128499812 146856928 256999624 513999248 1027998496