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542949632 = 281131372
BaseRepresentation
bin100000010111001…
…100000100000000
31101211122200212122
4200113030010000
52102443342012
6125513143412
716311665351
oct4027140400
91354580778
10542949632
11259532105
121319bab68
1388642394
1452175d28
15329ede72
hex205cc100

542949632 has 54 divisors (see below), whose sum is σ = 1101408378. Its totient is φ = 267108352.

The previous prime is 542949619. The next prime is 542949637. The reversal of 542949632 is 236949245.

It can be written as a sum of positive squares in 3 ways, for example, as 12845056 + 530104576 = 3584^2 + 23024^2 .

It is not an unprimeable number, because it can be changed into a prime (542949637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3963068 + ... + 3963204.

Almost surely, 2542949632 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 542949632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550704189).

542949632 is an abundant number, since it is smaller than the sum of its proper divisors (558458746).

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

542949632 is an equidigital number, since it uses as much as digits as its factorization.

542949632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 252 counting only the distinct ones).

The product of its digits is 466560, while the sum is 44.

The square root of 542949632 is about 23301.2796215144. The cubic root of 542949632 is about 815.8052848233.

The spelling of 542949632 in words is "five hundred forty-two million, nine hundred forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 113 128 137 226 256 274 452 548 904 1096 1808 2192 3616 4384 7232 8768 14464 15481 17536 18769 28928 30962 35072 37538 61924 75076 123848 150152 247696 300304 495392 600608 990784 1201216 1981568 2120897 2402432 3963136 4241794 4804864 8483588 16967176 33934352 67868704 135737408 271474816 542949632