Search a number
-
+
538380432 = 24341273271
BaseRepresentation
bin100000000101110…
…000100010010000
31101112001120010000
4200011300202100
52100311133212
6125231210000
716225105152
oct4005604220
91345046100
10538380432
112569a1207
12130376900
1387702705
1451706ad2
15323ea1dc
hex20170890

538380432 has 100 divisors (see below), whose sum is σ = 1570978816. Its totient is φ = 177992640.

The previous prime is 538380431. The next prime is 538380457. The reversal of 538380432 is 234083835.

538380432 is a `hidden beast` number, since 538 + 3 + 80 + 43 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (538380431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 162957 + ... + 166227.

Almost surely, 2538380432 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 538380432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785489408).

538380432 is an abundant number, since it is smaller than the sum of its proper divisors (1032598384).

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

538380432 is a wasteful number, since it uses less digits than its factorization.

538380432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 538380432 is about 23203.0263543358. The cubic root of 538380432 is about 813.5103615970.

The spelling of 538380432 in words is "five hundred thirty-eight million, three hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 254 324 381 432 508 648 762 1016 1143 1296 1524 2032 2286 3048 3271 3429 4572 6096 6542 6858 9144 9813 10287 13084 13716 18288 19626 20574 26168 27432 29439 39252 41148 52336 54864 58878 78504 82296 88317 117756 157008 164592 176634 235512 264951 353268 415417 471024 529902 706536 830834 1059804 1246251 1413072 1661668 2119608 2492502 3323336 3738753 4239216 4985004 6646672 7477506 9970008 11216259 14955012 19940016 22432518 29910024 33648777 44865036 59820048 67297554 89730072 134595108 179460144 269190216 538380432