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2001386408 = 237103467743
BaseRepresentation
bin111011101001010…
…1011101110101000
312011110221222000112
41313102223232220
513044323331113
6530332353452
7100411334540
oct16722535650
95143858015
102001386408
1193780425a
1247a315888
1325b841418
1414db3a320
15baa885a8
hex774abba8

2001386408 has 64 divisors (see below), whose sum is σ = 4345436160. Its totient is φ = 846449856.

The previous prime is 2001386399. The next prime is 2001386417. The reversal of 2001386408 is 8046831002.

It is an interprime number because it is at equal distance from previous prime (2001386399) and next prime (2001386417).

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, 2693285 + ... + 2694027.

It is an arithmetic number, because the mean of its divisors is an integer number (67897440).

Almost surely, 22001386408 is an apocalyptic number.

2001386408 is a gapful number since it is divisible by the number (28) 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 2001386408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172718080).

2001386408 is an abundant number, since it is smaller than the sum of its proper divisors (2344049752).

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

2001386408 is a wasteful number, since it uses less digits than its factorization.

2001386408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2001386408 is about 44736.8573773349. The cubic root of 2001386408 is about 1260.2121100877.

The spelling of 2001386408 in words is "two billion, one million, three hundred eighty-six thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 467 721 743 824 934 1442 1486 1868 2884 2972 3269 3736 5201 5768 5944 6538 10402 13076 20804 26152 41608 48101 76529 96202 153058 192404 306116 336707 346981 384808 535703 612232 673414 693962 1071406 1346828 1387924 2142812 2428867 2693656 2775848 4285624 4857734 9715468 19430936 35739043 71478086 142956172 250173301 285912344 500346602 1000693204 2001386408