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542007216 = 2432291071213
BaseRepresentation
bin100000010011100…
…101111110110000
31101202212211010100
4200103211332300
52102223212331
6125441032400
716300661652
oct4023457660
91352784110
10542007216
11258a49053
12131625700
13883a243a
1451dac6d2
15328b4ae6
hex204e5fb0

542007216 has 120 divisors (see below), whose sum is σ = 1585144080. Its totient is φ = 172666368.

The previous prime is 542007211. The next prime is 542007223. The reversal of 542007216 is 612700245.

It is a self number, because there is not a number n which added to its sum of digits gives 542007216.

It is not an unprimeable number, because it can be changed into a prime (542007211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446226 + ... + 447438.

It is an arithmetic number, because the mean of its divisors is an integer number (13209534).

Almost surely, 2542007216 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 542007216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792572040).

542007216 is an abundant number, since it is smaller than the sum of its proper divisors (1043136864).

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

542007216 is a wasteful number, since it uses less digits than its factorization.

542007216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 542007216 is about 23281.0484299999. The cubic root of 542007216 is about 815.3330045452. Note that the first 3 decimals are identical.

It can be divided in two parts, 54200 and 7216, that added together give a palindrome (61416).

The spelling of 542007216 in words is "five hundred forty-two million, seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 107 116 144 174 214 232 261 321 348 428 464 522 642 696 856 963 1044 1213 1284 1392 1712 1926 2088 2426 2568 3103 3639 3852 4176 4852 5136 6206 7278 7704 9309 9704 10917 12412 14556 15408 18618 19408 21834 24824 27927 29112 35177 37236 43668 49648 55854 58224 70354 74472 87336 105531 111708 129791 140708 148944 174672 211062 223416 259582 281416 316593 389373 422124 446832 519164 562832 633186 778746 844248 1038328 1168119 1266372 1557492 1688496 2076656 2336238 2532744 3114984 3763939 4672476 5065488 6229968 7527878 9344952 11291817 15055756 18689904 22583634 30111512 33875451 45167268 60223024 67750902 90334536 135501804 180669072 271003608 542007216