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1982256498 = 232315397691
BaseRepresentation
bin111011000100110…
…1101010101110010
312010010222001201100
41312021231111302
513024424201443
6524410345230
7100056621315
oct16611552562
95103861640
101982256498
11927a28712
12473a2b216
132578a4051
1414b39a97c
15b905a3d3
hex7626d572

1982256498 has 96 divisors (see below), whose sum is σ = 4570255872. Its totient is φ = 620006400.

The previous prime is 1982256481. The next prime is 1982256503. The reversal of 1982256498 is 8946522891.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

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, 2868333 + ... + 2869023.

It is an arithmetic number, because the mean of its divisors is an integer number (47606832).

Almost surely, 21982256498 is an apocalyptic number.

1982256498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982256498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285127936).

1982256498 is an abundant number, since it is smaller than the sum of its proper divisors (2587999374).

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

1982256498 is a wasteful number, since it uses less digits than its factorization.

1982256498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 877 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1982256498 is about 44522.5392133018. The cubic root of 1982256498 is about 1256.1840748950.

The spelling of 1982256498 in words is "one billion, nine hundred eighty-two million, two hundred fifty-six thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 18 31 53 62 93 97 106 159 186 194 279 291 318 477 558 582 691 873 954 1382 1643 1746 2073 3007 3286 4146 4929 5141 6014 6219 9021 9858 10282 12438 14787 15423 18042 21421 27063 29574 30846 36623 42842 46269 54126 64263 67027 73246 92538 109869 128526 134054 159371 192789 201081 219738 318742 329607 385578 402162 478113 603243 659214 956226 1135313 1206486 1434339 2077837 2270626 2868678 3405939 3552431 4155674 6233511 6811878 7104862 10217817 10657293 12467022 18700533 20435634 21314586 31971879 37401066 63943758 110125361 220250722 330376083 660752166 991128249 1982256498