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542852928 = 2634104717
BaseRepresentation
bin100000010110110…
…100011101000000
31101211110210020000
4200112310131000
52102432243203
6125511120000
716311113412
oct4026643500
91354423200
10542852928
11259476492
12131973000
138860a367
145214c9b2
15329d04a3
hex205b4740

542852928 has 70 divisors (see below), whose sum is σ = 1609201506. Its totient is φ = 180949248.

The previous prime is 542852927. The next prime is 542852929. The reversal of 542852928 is 829258245.

542852928 is a `hidden beast` number, since 542 + 85 + 2 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (542852927) and next prime (542852929).

It can be written as a sum of positive squares in only one way, i.e., 347747904 + 195105024 = 18648^2 + 13968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542852927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 47175 + ... + 57542.

Almost surely, 2542852928 is an apocalyptic number.

It is an amenable number.

542852928 is an abundant number, since it is smaller than the sum of its proper divisors (1066348578).

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

542852928 is a wasteful number, since it uses less digits than its factorization.

542852928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104741 (or 104722 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 542852928 is about 23299.2044499378. The cubic root of 542852928 is about 815.7568479679.

The spelling of 542852928 in words is "five hundred forty-two million, eight hundred fifty-two thousand, nine hundred twenty-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 104717 209434 314151 418868 628302 837736 942453 1256604 1675472 1884906 2513208 2827359 3350944 3769812 5026416 5654718 6701888 7539624 8482077 10052832 11309436 15079248 16964154 20105664 22618872 30158496 33928308 45237744 60316992 67856616 90475488 135713232 180950976 271426464 542852928