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1002838482 = 23479127617
BaseRepresentation
bin111011110001100…
…001100111010010
32120220000110210000
4323301201213102
54023211312412
6243302150430
733564662232
oct7361414722
92526013700
101002838482
11475092438
1223ba22416
1312c9c2169
1497289cc2
155d0924dc
hex3bc619d2

1002838482 has 80 divisors (see below), whose sum is σ = 2297180160. Its totient is φ = 326918592.

The previous prime is 1002838457. The next prime is 1002838489. The reversal of 1002838482 is 2848382001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1002838489) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1625038 + ... + 1625654.

It is an arithmetic number, because the mean of its divisors is an integer number (28714752).

Almost surely, 21002838482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002838482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148590080).

1002838482 is an abundant number, since it is smaller than the sum of its proper divisors (1294341678).

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

1002838482 is a wasteful number, since it uses less digits than its factorization.

1002838482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1002838482 is about 31667.6251398806. The cubic root of 1002838482 is about 1000.9452668557.

The spelling of 1002838482 in words is "one billion, two million, eight hundred thirty-eight thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 79 81 127 158 162 237 254 381 474 617 711 762 1143 1234 1422 1851 2133 2286 3429 3702 4266 5553 6399 6858 10033 10287 11106 12798 16659 20066 20574 30099 33318 48743 49977 60198 78359 90297 97486 99954 146229 156718 180594 235077 270891 292458 438687 470154 541782 705231 812673 877374 1316061 1410462 1625346 2115693 2632122 3948183 4231386 6190361 6347079 7896366 12380722 12694158 18571083 37142166 55713249 111426498 167139747 334279494 501419241 1002838482