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542338048 = 2107292609
BaseRepresentation
bin100000010100110…
…110110000000000
31101210111121221101
4200110312300000
52102314304143
6125452104144
716303540330
oct4024666000
91353447841
10542338048
1125915466a
12131765054
1388489bb5
14520570c0
153292cb4d
hex20536c00

542338048 has 88 divisors (see below), whose sum is σ = 1282240800. Its totient is φ = 224329728.

The previous prime is 542338031. The next prime is 542338057. The reversal of 542338048 is 840833245.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 542337998 and 542338016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206568 + ... + 209176.

Almost surely, 2542338048 is an apocalyptic number.

542338048 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641120400).

542338048 is an abundant number, since it is smaller than the sum of its proper divisors (739902752).

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

542338048 is a wasteful number, since it uses less digits than its factorization.

542338048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 542338048 is about 23288.1525244061. The cubic root of 542338048 is about 815.4988592780.

The spelling of 542338048 in words is "five hundred forty-two million, three hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 896 928 1024 1624 1792 1856 2609 3248 3584 3712 5218 6496 7168 7424 10436 12992 14848 18263 20872 25984 29696 36526 41744 51968 73052 75661 83488 103936 146104 151322 166976 207872 292208 302644 333952 529627 584416 605288 667904 1059254 1168832 1210576 1335808 2118508 2337664 2421152 2671616 4237016 4675328 4842304 8474032 9350656 9684608 16948064 18701312 19369216 33896128 38738432 67792256 77476864 135584512 271169024 542338048