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542716524 = 22347271883
BaseRepresentation
bin100000010110010…
…011001001101100
31101211012212010000
4200112103021230
52102413412044
6125504144300
716310004630
oct4026231154
91354185100
10542716524
11259392a59
12131908090
138859024c
1452114dc0
15329a4d69
hex2059326c

542716524 has 120 divisors (see below), whose sum is σ = 1629275648. Its totient is φ = 154314720.

The previous prime is 542716523. The next prime is 542716553. The reversal of 542716524 is 425617245.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (542716523) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 614187 + ... + 615069.

Almost surely, 2542716524 is an apocalyptic number.

542716524 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542716524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814637824).

542716524 is an abundant number, since it is smaller than the sum of its proper divisors (1086559124).

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

542716524 is a wasteful number, since it uses less digits than its factorization.

542716524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1166 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 542716524 is about 23296.2770416219. The cubic root of 542716524 is about 815.6885164963.

The spelling of 542716524 in words is "five hundred forty-two million, seven hundred sixteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 271 324 378 542 567 756 813 883 1084 1134 1626 1766 1897 2268 2439 2649 3252 3532 3794 4878 5298 5691 6181 7317 7588 7947 9756 10596 11382 12362 14634 15894 17073 18543 21951 22764 23841 24724 29268 31788 34146 37086 43902 47682 51219 55629 68292 71523 74172 87804 95364 102438 111258 143046 153657 166887 204876 222516 239293 286092 307314 333774 478586 500661 614628 667548 717879 957172 1001322 1435758 1675051 2002644 2153637 2871516 3350102 4307274 5025153 6460911 6700204 8614548 10050306 12921822 15075459 19382733 20100612 25843644 30150918 38765466 45226377 60301836 77530932 90452754 135679131 180905508 271358262 542716524