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542221416 = 233211797859
BaseRepresentation
bin100000010100011…
…010010001101000
31101210021200221200
4200110122101220
52102302041131
6125445404200
716302543312
oct4024322150
91353250850
10542221416
11259084a80
12131709660
1388448a99
14520267b2
15329082e6
hex2051a468

542221416 has 96 divisors (see below), whose sum is σ = 1605895200. Its totient is φ = 163912320.

The previous prime is 542221399. The next prime is 542221423. The reversal of 542221416 is 614122245.

It is a self number, because there is not a number n which added to its sum of digits gives 542221416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630795 + ... + 631653.

It is an arithmetic number, because the mean of its divisors is an integer number (16728075).

Almost surely, 2542221416 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 542221416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802947600).

542221416 is an abundant number, since it is smaller than the sum of its proper divisors (1063673784).

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

542221416 is a wasteful number, since it uses less digits than its factorization.

542221416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1672 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 542221416 is about 23285.6482838679. The cubic root of 542221416 is about 815.4403963062.

The spelling of 542221416 in words is "five hundred forty-two million, two hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 797 859 1594 1718 2391 2577 3188 3436 4782 5154 6376 6872 7173 7731 8767 9449 9564 10308 14346 15462 17534 18898 19128 20616 26301 28347 28692 30924 35068 37796 52602 56694 57384 61848 70136 75592 78903 85041 105204 113388 157806 170082 210408 226776 315612 340164 631224 680328 684623 1369246 2053869 2738492 4107738 5476984 6161607 7530853 8215476 12323214 15061706 16430952 22592559 24646428 30123412 45185118 49292856 60246824 67777677 90370236 135555354 180740472 271110708 542221416