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542662224 = 243134121211
BaseRepresentation
bin100000010110000…
…101111001010000
31101211010002121220
4200112011321100
52102410142344
6125503045040
716306360416
oct4026057120
91354102556
10542662224
11259356185
121318a0780
1388571610
14520dd2b6
1532993c19
hex20585e50

542662224 has 80 divisors (see below), whose sum is σ = 1546609344. Its totient is φ = 162892800.

The previous prime is 542662199. The next prime is 542662247. The reversal of 542662224 is 422266245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14979 + ... + 36189.

Almost surely, 2542662224 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 542662224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773304672).

542662224 is an abundant number, since it is smaller than the sum of its proper divisors (1003947120).

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

542662224 is a wasteful number, since it uses less digits than its factorization.

542662224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21276 (or 21270 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 542662224 is about 23295.1115902028. Note that the first 3 decimals coincide. The cubic root of 542662224 is about 815.6613117698.

It can be divided in two parts, 54 and 2662224, that added together give a triangular number (2662278 = T2307).

The spelling of 542662224 in words is "five hundred forty-two million, six hundred sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 3198 4264 6396 8528 12792 21211 25584 42422 63633 84844 127266 169688 254532 275743 339376 509064 551486 827229 869651 1018128 1102972 1654458 1739302 2205944 2608953 3308916 3478604 4411888 5217906 6617832 6957208 10435812 11305463 13235664 13914416 20871624 22610926 33916389 41743248 45221852 67832778 90443704 135665556 180887408 271331112 542662224