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542796804 = 22321123532
BaseRepresentation
bin100000010110100…
…110110000000100
31101211100221020100
4200112212300010
52102423444204
6125510004100
716310460654
oct4026466004
91354327210
10542796804
11259438300
12131946630
13885ba954
1452136364
15329bda39
hex205a6c04

542796804 has 81 divisors (see below), whose sum is σ = 1512427189. Its totient is φ = 164017920.

The previous prime is 542796781. The next prime is 542796811. The reversal of 542796804 is 408697245.

It is a happy number.

The square root of 542796804 is 23298.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 220522500 + 322274304 = 14850^2 + 17952^2 .

It is a super-2 number, since 2×5427968042 = 589256740865228832, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 542796804.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1537492 + ... + 1537844.

Almost surely, 2542796804 is an apocalyptic number.

542796804 is the 23298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542796804

542796804 is an abundant number, since it is smaller than the sum of its proper divisors (969630385).

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

542796804 is a wasteful number, since it uses less digits than its factorization.

542796804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The cubic root of 542796804 is about 815.7287340823.

The spelling of 542796804 in words is "five hundred forty-two million, seven hundred ninety-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 353 363 396 484 706 726 1059 1089 1412 1452 2118 2178 3177 3883 4236 4356 6354 7766 11649 12708 15532 23298 34947 42713 46596 69894 85426 124609 128139 139788 170852 249218 256278 373827 384417 498436 512556 747654 768834 1121481 1370699 1495308 1537668 2242962 2741398 4112097 4485924 5482796 8224194 12336291 15077689 16448388 24672582 30155378 45233067 49345164 60310756 90466134 135699201 180932268 271398402 542796804