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542621436 = 2237172913103
BaseRepresentation
bin100000010101111…
…011111011111100
31101211001000200020
4200111323323330
52102402341221
6125502132140
716306130460
oct4025737374
91354030606
10542621436
11259328575
12131881050
1388558b96
14520cc4a0
1532986ac6
hex2057befc

542621436 has 96 divisors (see below), whose sum is σ = 1585059840. Its totient is φ = 140872704.

The previous prime is 542621423. The next prime is 542621441. The reversal of 542621436 is 634126245.

It is a junction number, because it is equal to n+sod(n) for n = 542621397 and 542621406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34861 + ... + 47963.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2542621436 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 542621436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

542621436 is an abundant number, since it is smaller than the sum of its proper divisors (1042438404).

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

542621436 is a wasteful number, since it uses less digits than its factorization.

542621436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13163 (or 13161 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 542621436 is about 23294.2361111070. The cubic root of 542621436 is about 815.6408754679.

It can be divided in two parts, 5426 and 21436, that added together give a palindrome (26862).

The spelling of 542621436 in words is "five hundred forty-two million, six hundred twenty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 174 203 204 238 348 357 406 476 493 609 714 812 986 1218 1428 1479 1972 2436 2958 3451 5916 6902 10353 13103 13804 20706 26206 39309 41412 52412 78618 91721 157236 183442 222751 275163 366884 379987 445502 550326 668253 759974 891004 1100652 1139961 1336506 1519948 1559257 2279922 2659909 2673012 3118514 4559844 4677771 5319818 6237028 6459779 7979727 9355542 10639636 12919558 15959454 18711084 19379337 25839116 31918908 38758674 45218453 77517348 90436906 135655359 180873812 271310718 542621436