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538248768 = 2633775767
BaseRepresentation
bin100000000101010…
…000011001000000
31101111210212111120
4200011100121000
52100242430033
6125224312240
716224016251
oct4005203100
91344725446
10538248768
112569112a2
12130312680
13876877c5
14516b0b28
15323c11b3
hex20150640

538248768 has 56 divisors (see below), whose sum is σ = 1462625472. Its totient is φ = 174564864.

The previous prime is 538248749. The next prime is 538248769. The reversal of 538248768 is 867842835.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 538248768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538248769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30780 + ... + 44987.

It is an arithmetic number, because the mean of its divisors is an integer number (26118312).

Almost surely, 2538248768 is an apocalyptic number.

It is an amenable number.

538248768 is an abundant number, since it is smaller than the sum of its proper divisors (924376704).

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

538248768 is a wasteful number, since it uses less digits than its factorization.

538248768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75819 (or 75809 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 538248768 is about 23200.1889647477. The cubic root of 538248768 is about 813.4440399934. Note that the first 3 decimals are identical.

The spelling of 538248768 in words is "five hundred thirty-eight million, two hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 75767 151534 227301 303068 454602 606136 909204 1212272 1818408 2424544 2803379 3636816 4849088 5606758 7273632 8410137 11213516 14547264 16820274 22427032 33640548 44854064 67281096 89708128 134562192 179416256 269124384 538248768