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538524448 = 257111911503
BaseRepresentation
bin100000000110010…
…011101100100000
31101112022212122221
4200012103230200
52100330240243
6125234240424
716226245060
oct4006235440
91345285587
10538524448
11256a8a430
12130426114
1387753127
14517433a0
1532427bed
hex20193b20

538524448 has 96 divisors (see below), whose sum is σ = 1391523840. Its totient is φ = 198754560.

The previous prime is 538524443. The next prime is 538524451. The reversal of 538524448 is 844425835.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (538524443) 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, 41065 + ... + 52567.

It is an arithmetic number, because the mean of its divisors is an integer number (14495040).

Almost surely, 2538524448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538524448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695761920).

538524448 is an abundant number, since it is smaller than the sum of its proper divisors (852999392).

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

538524448 is a wasteful number, since it uses less digits than its factorization.

538524448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11550 (or 11542 counting only the distinct ones).

The product of its digits is 614400, while the sum is 43.

The square root of 538524448 is about 23206.1295351034. The cubic root of 538524448 is about 813.5828927517.

The spelling of 538524448 in words is "five hundred thirty-eight million, five hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 532 608 616 836 1064 1232 1463 1672 2128 2464 2926 3344 4256 5852 6688 11503 11704 23006 23408 46012 46816 80521 92024 126533 161042 184048 218557 253066 322084 368096 437114 506132 644168 874228 885731 1012264 1288336 1529899 1748456 1771462 2024528 2404127 2576672 3059798 3496912 3542924 4049056 4808254 6119596 6993824 7085848 9616508 12239192 14171696 16828889 19233016 24478384 28343392 33657778 38466032 48956768 67315556 76932064 134631112 269262224 538524448