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1414268208 = 24338339443
BaseRepresentation
bin101010001001100…
…0000010100110000
310122120012021021000
41110103000110300
510344023040313
6352200402000
750022036633
oct12423002460
93576167230
101414268208
11666354701
12335776300
13197005cc2
14d5b87c1a
1584262673
hex544c0530

1414268208 has 80 divisors (see below), whose sum is σ = 4108487040. Its totient is φ = 465731136.

The previous prime is 1414268203. The next prime is 1414268209. The reversal of 1414268208 is 8028624141.

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

It is not an unprimeable number, because it can be changed into a prime (1414268203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16135 + ... + 55577.

It is an arithmetic number, because the mean of its divisors is an integer number (51356088).

Almost surely, 21414268208 is an apocalyptic number.

1414268208 is a gapful number since it is divisible by the number (18) 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 1414268208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054243520).

1414268208 is an abundant number, since it is smaller than the sum of its proper divisors (2694218832).

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

1414268208 is a wasteful number, since it uses less digits than its factorization.

1414268208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39543 (or 39531 counting only the distinct ones).

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

The square root of 1414268208 is about 37606.7574778789. The cubic root of 1414268208 is about 1122.4765055441.

The spelling of 1414268208 in words is "one billion, four hundred fourteen million, two hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1328 1494 1992 2241 2988 3984 4482 5976 8964 11952 17928 35856 39443 78886 118329 157772 236658 315544 354987 473316 631088 709974 946632 1064961 1419948 1893264 2129922 2839896 3273769 4259844 5679792 6547538 8519688 9821307 13095076 17039376 19642614 26190152 29463921 39285228 52380304 58927842 78570456 88391763 117855684 157140912 176783526 235711368 353567052 471422736 707134104 1414268208