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2016393408 = 26326752249
BaseRepresentation
bin111100000101111…
…1011100011000000
312012112012101202100
41320023323203000
513112144042113
6532030150400
7100653026661
oct17013734300
95175171670
102016393408
11945224237
12483352400
13261996cc3
14151b25368
15bc04ed73
hex782fb8c0

2016393408 has 84 divisors (see below), whose sum is σ = 5866003000. Its totient is φ = 662086656.

The previous prime is 2016393383. The next prime is 2016393433. The reversal of 2016393408 is 8043936102.

2016393408 is a `hidden beast` number, since 2 + 0 + 163 + 93 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (2016393383) and next prime (2016393433).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12468 + ... + 64716.

Almost surely, 22016393408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933001500).

2016393408 is an abundant number, since it is smaller than the sum of its proper divisors (3849609592).

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

2016393408 is a wasteful number, since it uses less digits than its factorization.

2016393408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52334 (or 52321 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2016393408 is about 44904.2693738580. The cubic root of 2016393408 is about 1263.3540870173.

The spelling of 2016393408 in words is "two billion, sixteen million, three hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 1072 1206 1608 2144 2412 3216 4288 4824 6432 9648 12864 19296 38592 52249 104498 156747 208996 313494 417992 470241 626988 835984 940482 1253976 1671968 1880964 2507952 3343936 3500683 3761928 5015904 7001366 7523856 10031808 10502049 14002732 15047712 21004098 28005464 30095424 31506147 42008196 56010928 63012294 84016392 112021856 126024588 168032784 224043712 252049176 336065568 504098352 672131136 1008196704 2016393408