Search a number
-
+
1539129552 = 243376114207
BaseRepresentation
bin101101110111101…
…0100000011010000
310222021010212211020
41123233110003100
511123004121202
6412420515440
753066246112
oct13357240320
93867125736
101539129552
1171a8868a4
1236b54bb80
131b6b4285c
141085ab3b2
15901c85bc
hex5bbd40d0

1539129552 has 80 divisors (see below), whose sum is σ = 4150781952. Its totient is φ = 490959360.

The previous prime is 1539129541. The next prime is 1539129563. The reversal of 1539129552 is 2559219351.

It is an interprime number because it is at equal distance from previous prime (1539129541) and next prime (1539129563).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101233 + ... + 115439.

Almost surely, 21539129552 is an apocalyptic number.

1539129552 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 1539129552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075390976).

1539129552 is an abundant number, since it is smaller than the sum of its proper divisors (2611652400).

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

1539129552 is a wasteful number, since it uses less digits than its factorization.

1539129552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14316 (or 14310 counting only the distinct ones).

The product of its digits is 121500, while the sum is 42.

The square root of 1539129552 is about 39231.7416386273. The cubic root of 1539129552 is about 1154.5827349015.

The spelling of 1539129552 in words is "one billion, five hundred thirty-nine million, one hundred twenty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 61 74 111 122 148 183 222 244 296 366 444 488 592 732 888 976 1464 1776 2257 2928 4514 6771 9028 13542 14207 18056 27084 28414 36112 42621 54168 56828 85242 108336 113656 170484 227312 340968 525659 681936 866627 1051318 1576977 1733254 2102636 2599881 3153954 3466508 4205272 5199762 6307908 6933016 8410544 10399524 12615816 13866032 20799048 25231632 32065199 41598096 64130398 96195597 128260796 192391194 256521592 384782388 513043184 769564776 1539129552