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542230848 = 2634104597
BaseRepresentation
bin100000010100011…
…100100101000000
31101210022011220000
4200110130211000
52102302341343
6125445520000
716302612645
oct4024344500
91353264800
10542230848
11259091075
12131713000
1388450173
1452029dcc
153290aed3
hex2051c940

542230848 has 70 divisors (see below), whose sum is σ = 1607357466. Its totient is φ = 180741888.

The previous prime is 542230847. The next prime is 542230853. The reversal of 542230848 is 848032245.

542230848 is a `hidden beast` number, since 542 + 2 + 30 + 84 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 424030464 + 118200384 = 20592^2 + 10872^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542230841) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 47115 + ... + 57482.

Almost surely, 2542230848 is an apocalyptic number.

It is an amenable number.

542230848 is an abundant number, since it is smaller than the sum of its proper divisors (1065126618).

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

542230848 is a wasteful number, since it uses less digits than its factorization.

542230848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104621 (or 104602 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 542230848 is about 23285.8508111686. The cubic root of 542230848 is about 815.4451245034.

The spelling of 542230848 in words is "five hundred forty-two million, two hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 104597 209194 313791 418388 627582 836776 941373 1255164 1673552 1882746 2510328 2824119 3347104 3765492 5020656 5648238 6694208 7530984 8472357 10041312 11296476 15061968 16944714 20082624 22592952 30123936 33889428 45185904 60247872 67778856 90371808 135557712 180743616 271115424 542230848