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542528448 = 26371136697
BaseRepresentation
bin100000010101100…
…101001111000000
31101210212022010020
4200111211033000
52102341402243
6125500133440
716305262410
oct4025451700
91353768106
10542528448
11259274720
12131837280
1388525767
14520a6640
1532969283
hex205653c0

542528448 has 112 divisors (see below), whose sum is σ = 1789688064. Its totient is φ = 140912640.

The previous prime is 542528419. The next prime is 542528461. The reversal of 542528448 is 844825245.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3565 + ... + 33132.

Almost surely, 2542528448 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 542528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894844032).

542528448 is an abundant number, since it is smaller than the sum of its proper divisors (1247159616).

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

542528448 is a wasteful number, since it uses less digits than its factorization.

542528448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36730 (or 36720 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

The square root of 542528448 is about 23292.2400811944. The cubic root of 542528448 is about 815.5942811995.

The spelling of 542528448 in words is "five hundred forty-two million, five hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 36697 73394 110091 146788 220182 256879 293576 403667 440364 513758 587152 770637 807334 880728 1027516 1174304 1211001 1541274 1614668 1761456 2055032 2348608 2422002 2825669 3082548 3229336 3522912 4110064 4844004 5651338 6165096 6458672 7045824 8220128 8477007 9688008 11302676 12330192 12917344 16440256 16954014 19376016 22605352 24660384 25834688 33908028 38752032 45210704 49320768 67816056 77504064 90421408 135632112 180842816 271264224 542528448