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1409000592 = 243314720147
BaseRepresentation
bin101001111111011…
…1010010010010000
310122012021122110010
41103332322102100
510341201004332
6351451434520
746626210306
oct12376722220
93565248403
101409000592
11663386aaa
12333a55a40
13195bb047c
14d51b6276
1583a719cc
hex53fba490

1409000592 has 80 divisors (see below), whose sum is σ = 3837468672. Its totient is φ = 444823680.

The previous prime is 1409000591. The next prime is 1409000617. The reversal of 1409000592 is 2950009041.

It is a happy number.

1409000592 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1409000591) 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, 59863 + ... + 80009.

Almost surely, 21409000592 is an apocalyptic number.

1409000592 is a gapful number since it is divisible by the number (12) 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 1409000592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918734336).

1409000592 is an abundant number, since it is smaller than the sum of its proper divisors (2428468080).

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

1409000592 is a wasteful number, since it uses less digits than its factorization.

1409000592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20236 (or 20230 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1409000592 is about 37536.6566438728. The cubic root of 1409000592 is about 1121.0811711119.

The spelling of 1409000592 in words is "one billion, four hundred nine million, five hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 248 282 372 376 496 564 744 752 1128 1457 1488 2256 2914 4371 5828 8742 11656 17484 20147 23312 34968 40294 60441 69936 80588 120882 161176 241764 322352 483528 624557 946909 967056 1249114 1873671 1893818 2498228 2840727 3747342 3787636 4996456 5681454 7494684 7575272 9992912 11362908 14989368 15150544 22725816 29354179 29978736 45451632 58708358 88062537 117416716 176125074 234833432 352250148 469666864 704500296 1409000592