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1002428440 = 235138112377
BaseRepresentation
bin111011101111111…
…101100000011000
32120212020122022021
4323233331200120
54023110202230
6243245304224
733561333616
oct7357754030
92525218267
101002428440
11474932362
1223b865074
1312c8aa630
14971c06b6
155d010c7a
hex3bbfd818

1002428440 has 64 divisors (see below), whose sum is σ = 2432979360. Its totient is φ = 369515520.

The previous prime is 1002428437. The next prime is 1002428459. The reversal of 1002428440 is 448242001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420532 + ... + 422908.

Almost surely, 21002428440 is an apocalyptic number.

1002428440 is a gapful number since it is divisible by the number (10) 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 1002428440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216489680).

1002428440 is an abundant number, since it is smaller than the sum of its proper divisors (1430550920).

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

1002428440 is a wasteful number, since it uses less digits than its factorization.

1002428440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 1002428440 is about 31661.1503265437. The cubic root of 1002428440 is about 1000.8088256247.

The spelling of 1002428440 in words is "one billion, two million, four hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 811 1622 2377 3244 4055 4754 6488 8110 9508 10543 11885 16220 19016 21086 23770 30901 32440 42172 47540 52715 61802 84344 95080 105430 123604 154505 210860 247208 309010 421720 618020 1236040 1927747 3855494 7710988 9638735 15421976 19277470 25060711 38554940 50121422 77109880 100242844 125303555 200485688 250607110 501214220 1002428440