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539154144 = 2534792633
BaseRepresentation
bin100000001000101…
…101011011100000
31101120111212110000
4200020231123200
52101010413034
6125255540000
716234506654
oct4010553340
91346455400
10539154144
1125737a541
1213068a600
1387913929
1451868a64
15324ee599
hex2022d6e0

539154144 has 120 divisors (see below), whose sum is σ = 1606318560. Its totient is φ = 177375744.

The previous prime is 539154103. The next prime is 539154149. The reversal of 539154144 is 441451935.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 539154099 and 539154108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (539154149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203452 + ... + 206084.

It is an arithmetic number, because the mean of its divisors is an integer number (13385988).

Almost surely, 2539154144 is an apocalyptic number.

539154144 is a gapful number since it is divisible by the number (54) 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 539154144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803159280).

539154144 is an abundant number, since it is smaller than the sum of its proper divisors (1067164416).

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

539154144 is a wasteful number, since it uses less digits than its factorization.

539154144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2717 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 539154144 is about 23219.6930212266. The cubic root of 539154144 is about 813.8998764056.

The spelling of 539154144 in words is "five hundred thirty-nine million, one hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 288 316 324 432 474 632 648 711 864 948 1264 1296 1422 1896 2133 2528 2592 2633 2844 3792 4266 5266 5688 6399 7584 7899 8532 10532 11376 12798 15798 17064 21064 22752 23697 25596 31596 34128 42128 47394 51192 63192 68256 71091 84256 94788 102384 126384 142182 189576 204768 208007 213273 252768 284364 379152 416014 426546 568728 624021 758304 832028 853092 1137456 1248042 1664056 1706184 1872063 2274912 2496084 3328112 3412368 3744126 4992168 5616189 6656224 6824736 7488252 9984336 11232378 14976504 16848567 19968672 22464756 29953008 33697134 44929512 59906016 67394268 89859024 134788536 179718048 269577072 539154144