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542128752 = 2432111492297
BaseRepresentation
bin100000010100000…
…011101001110000
31101210002222211200
4200110003221300
52102241110002
6125443411200
716302006204
oct4024035160
91353088750
10542128752
112590213a0
12131683b00
1388415859
1452000b04
15328dab1c
hex20503a70

542128752 has 120 divisors (see below), whose sum is σ = 1666969200. Its totient is φ = 163107840.

The previous prime is 542128751. The next prime is 542128753. The reversal of 542128752 is 257821245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (542128751) and next prime (542128753).

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 (542128751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234868 + ... + 237164.

It is an arithmetic number, because the mean of its divisors is an integer number (13891410).

Almost surely, 2542128752 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 542128752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833484600).

542128752 is an abundant number, since it is smaller than the sum of its proper divisors (1124840448).

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

542128752 is a wasteful number, since it uses less digits than its factorization.

542128752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2462 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 542128752 is about 23283.6584754201. The cubic root of 542128752 is about 815.3939415607.

Adding to 542128752 its reverse (257821245), we get a palindrome (799949997).

The spelling of 542128752 in words is "five hundred forty-two million, one hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 149 176 198 264 298 396 447 528 596 792 894 1192 1341 1584 1639 1788 2297 2384 2682 3278 3576 4594 4917 5364 6556 6891 7152 9188 9834 10728 13112 13782 14751 18376 19668 20673 21456 25267 26224 27564 29502 36752 39336 41346 50534 55128 59004 75801 78672 82692 101068 110256 118008 151602 165384 202136 227403 236016 303204 330768 342253 404272 454806 606408 684506 909612 1026759 1212816 1369012 1819224 2053518 2738024 3080277 3638448 3764783 4107036 5476048 6160554 7529566 8214072 11294349 12321108 15059132 16428144 22588698 24642216 30118264 33883047 45177396 49284432 60236528 67766094 90354792 135532188 180709584 271064376 542128752