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538053480 = 233252935101
BaseRepresentation
bin100000000100100…
…000101101101000
31101111102221121200
4200010200231220
52100220202410
6125220204200
716222244016
oct4004405550
91344387550
10538053480
112567985a8
12130239660
1387619953
145165d8b6
15323833c0
hex20120b68

538053480 has 96 divisors (see below), whose sum is σ = 1754985960. Its totient is φ = 142963200.

The previous prime is 538053479. The next prime is 538053487. The reversal of 538053480 is 84350835.

538053480 is a `hidden beast` number, since 53 + 80 + 53 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 380952324 + 157101156 = 19518^2 + 12534^2 .

It is a super-2 number, since 2×5380534802 = 579003094680220800, which contains 22 as substring.

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 (538053487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102930 + ... + 108030.

Almost surely, 2538053480 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 538053480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877492980).

538053480 is an abundant number, since it is smaller than the sum of its proper divisors (1216932480).

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

538053480 is a wasteful number, since it uses less digits than its factorization.

538053480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 538053480 is about 23195.9798240988. The cubic root of 538053480 is about 813.3456498777.

The spelling of 538053480 in words is "five hundred thirty-eight million, fifty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 293 360 586 879 1172 1465 1758 2344 2637 2930 3516 4395 5101 5274 5860 7032 8790 10202 10548 11720 13185 15303 17580 20404 21096 25505 26370 30606 35160 40808 45909 51010 52740 61212 76515 91818 102020 105480 122424 153030 183636 204040 229545 306060 367272 459090 612120 918180 1494593 1836360 2989186 4483779 5978372 7472965 8967558 11956744 13451337 14945930 17935116 22418895 26902674 29891860 35870232 44837790 53805348 59783720 67256685 89675580 107610696 134513370 179351160 269026740 538053480