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542300624 = 24235924977
BaseRepresentation
bin100000010100101…
…101100111010000
31101210102201121022
4200110231213100
52102312104444
6125451215012
716303323245
oct4024554720
91353381538
10542300624
11259129538
12131747468
1388475b58
14520475cc
15329219ee
hex2052d9d0

542300624 has 40 divisors (see below), whose sum is σ = 1115017920. Its totient is φ = 254955008.

The previous prime is 542300599. The next prime is 542300653. The reversal of 542300624 is 426003245.

It is a junction number, because it is equal to n+sod(n) for n = 542300593 and 542300602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9224 + ... + 34200.

It is an arithmetic number, because the mean of its divisors is an integer number (27875448).

Almost surely, 2542300624 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 542300624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557508960).

542300624 is an abundant number, since it is smaller than the sum of its proper divisors (572717296).

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

542300624 is a wasteful number, since it uses less digits than its factorization.

542300624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25067 (or 25061 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 542300624 is about 23287.3490118562. The cubic root of 542300624 is about 815.4801010321.

Adding to 542300624 its reverse (426003245), we get a palindrome (968303869).

The spelling of 542300624 in words is "five hundred forty-two million, three hundred thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 472 944 1357 2714 5428 10856 21712 24977 49954 99908 199816 399632 574471 1148942 1473643 2297884 2947286 4595768 5894572 9191536 11789144 23578288 33893789 67787578 135575156 271150312 542300624