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542322432 = 2833312531
BaseRepresentation
bin100000010100110…
…010111100000000
31101210110211112000
4200110302330000
52102313304212
6125451504000
716303443651
oct4024627400
91353424460
10542322432
11259143963
12131758000
1388482a62
1452051528
15329281dc
hex20532f00

542322432 has 144 divisors (see below), whose sum is σ = 1656130560. Its totient is φ = 174873600.

The previous prime is 542322427. The next prime is 542322433. The reversal of 542322432 is 234223245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5423224322 = 588227240500789248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 542322396 and 542322405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542322433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213007 + ... + 215537.

Almost surely, 2542322432 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 542322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828065280).

542322432 is an abundant number, since it is smaller than the sum of its proper divisors (1113808128).

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

542322432 is a wasteful number, since it uses less digits than its factorization.

542322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2567 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 542322432 is about 23287.8172442159. The cubic root of 542322432 is about 815.4910320858.

Adding to 542322432 its reverse (234223245), we get a palindrome (776545677).

The spelling of 542322432 in words is "five hundred forty-two million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2531 2976 3348 3456 3968 4464 5062 5952 6696 6912 7593 7936 8928 10124 11904 13392 15186 17856 20248 22779 23808 26784 30372 35712 40496 45558 53568 60744 68337 71424 78461 80992 91116 107136 121488 136674 156922 161984 182232 214272 235383 242976 273348 313844 323968 364464 470766 485952 546696 627688 647936 706149 728928 941532 971904 1093392 1255376 1412298 1457856 1883064 1943808 2118447 2186784 2510752 2824596 2915712 3766128 4236894 4373568 5021504 5649192 5831424 7532256 8473788 8747136 10043008 11298384 15064512 16947576 17494272 20086016 22596768 30129024 33895152 45193536 60258048 67790304 90387072 135580608 180774144 271161216 542322432