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538455456 = 253271124281
BaseRepresentation
bin100000000110000…
…010110110100000
31101112012101000200
4200012002312200
52100321033311
6125232545200
716225536660
oct4006026640
91345171020
10538455456
11256a42610
121303b2200
138772a8c6
14517261a0
1532412556
hex20182da0

538455456 has 144 divisors (see below), whose sum is σ = 1909147968. Its totient is φ = 139852800.

The previous prime is 538455377. The next prime is 538455473. The reversal of 538455456 is 654554835.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10036 + ... + 34316.

It is an arithmetic number, because the mean of its divisors is an integer number (13257972).

Almost surely, 2538455456 is an apocalyptic number.

538455456 is a gapful number since it is divisible by the number (56) 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 538455456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954573984).

538455456 is an abundant number, since it is smaller than the sum of its proper divisors (1370692512).

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

538455456 is a wasteful number, since it uses less digits than its factorization.

538455456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24315 (or 24304 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The square root of 538455456 is about 23204.6429836789. The cubic root of 538455456 is about 813.5481477441.

The spelling of 538455456 in words is "five hundred thirty-eight million, four hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 24281 48562 72843 97124 145686 169967 194248 218529 267091 291372 339934 388496 437058 509901 534182 582744 679868 776992 801273 874116 1019802 1068364 1165488 1359736 1529703 1602546 1748232 1869637 2039604 2136728 2330976 2403819 2719472 3059406 3205092 3496464 3739274 4079208 4273456 4807638 5438944 5608911 6118812 6410184 6992928 7478548 8158416 8546912 9615276 11217822 12237624 12820368 14957096 16316832 16826733 19230552 22435644 24475248 25640736 29914192 33653466 38461104 44871288 48950496 59828384 67306932 76922208 89742576 134613864 179485152 269227728 538455456