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1388480814 = 232717648217
BaseRepresentation
bin101001011000010…
…1000100100101110
310120202200010121100
41102300220210232
510320422341224
6345435543530
746256615010
oct12260504456
93522603540
101388480814
11652841206
12328bbaba6
131918775a6
14d25941b0
1581d6bac9
hex52c2892e

1388480814 has 48 divisors (see below), whose sum is σ = 3640392288. Its totient is φ = 373372416.

The previous prime is 1388480791. The next prime is 1388480837. The reversal of 1388480814 is 4180848831.

1388480814 is a `hidden beast` number, since 13 + 88 + 480 + 81 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1388480791) and next prime (1388480837).

It is a super-2 number, since 2×13884808142 = 3855757941692205192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1388480814.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321967 + ... + 326250.

It is an arithmetic number, because the mean of its divisors is an integer number (75841506).

Almost surely, 21388480814 is an apocalyptic number.

1388480814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1388480814 is an abundant number, since it is smaller than the sum of its proper divisors (2251911474).

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

1388480814 is a wasteful number, since it uses less digits than its factorization.

1388480814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648249 (or 648246 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1388480814 is about 37262.3243236382. The cubic root of 1388480814 is about 1115.6123012560.

The spelling of 1388480814 in words is "one billion, three hundred eighty-eight million, four hundred eighty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 648217 1296434 1944651 3889302 4537519 5833953 9075038 11019689 11667906 13612557 22039378 27225114 33059067 40837671 66118134 77137823 81675342 99177201 154275646 198354402 231413469 462826938 694240407 1388480814