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1408142208 = 27311333367
BaseRepresentation
bin101001111101110…
…1000101110000000
310122010200000222010
41103323220232000
510340441022313
6351421212520
746616003604
oct12373505600
93563600863
101408142208
116629500a0
12333701140
1319596c855
14d5031504
15839524c3
hex53ee8b80

1408142208 has 64 divisors (see below), whose sum is σ = 4080424320. Its totient is φ = 426708480.

The previous prime is 1408142161. The next prime is 1408142209. The reversal of 1408142208 is 8022418041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14081422082 = 3965728955902230528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408142209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162460 + ... + 170907.

It is an arithmetic number, because the mean of its divisors is an integer number (63756630).

Almost surely, 21408142208 is an apocalyptic number.

It is an amenable number.

1408142208 is an abundant number, since it is smaller than the sum of its proper divisors (2672282112).

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

1408142208 is a wasteful number, since it uses less digits than its factorization.

1408142208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333395 (or 333383 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 1408142208 is about 37525.2209587099. The cubic root of 1408142208 is about 1120.8534651215.

The spelling of 1408142208 in words is "one billion, four hundred eight million, one hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 333367 666734 1000101 1333468 2000202 2666936 3667037 4000404 5333872 7334074 8000808 10667744 11001111 14668148 16001616 21335488 22002222 29336296 32003232 42670976 44004444 58672592 64006464 88008888 117345184 128012928 176017776 234690368 352035552 469380736 704071104 1408142208