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542101266 = 232761251281
BaseRepresentation
bin100000010011111…
…100111100010010
31101210001121010200
4200103330330102
52102234220031
6125443040030
716301533110
oct4023747422
91353047120
10542101266
11259002783
12131670016
13884061a5
1451dd4ab0
15328d28e6
hex204fcf12

542101266 has 96 divisors (see below), whose sum is σ = 1374662016. Its totient is φ = 151200000.

The previous prime is 542101249. The next prime is 542101267. The reversal of 542101266 is 662101245.

It is not an unprimeable number, because it can be changed into a prime (542101267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1929046 + ... + 1929326.

It is an arithmetic number, because the mean of its divisors is an integer number (14319396).

Almost surely, 2542101266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542101266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687331008).

542101266 is an abundant number, since it is smaller than the sum of its proper divisors (832560750).

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

542101266 is a wasteful number, since it uses less digits than its factorization.

542101266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 542101266 is about 23283.0682256441. The cubic root of 542101266 is about 815.3801611339.

The spelling of 542101266 in words is "five hundred forty-two million, one hundred one thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 251 281 366 427 502 549 562 753 843 854 1098 1281 1506 1686 1757 1967 2259 2529 2562 3514 3843 3934 4518 5058 5271 5901 7686 10542 11802 15311 15813 17141 17703 30622 31626 34282 35406 45933 51423 70531 91866 102846 107177 119987 137799 141062 154269 211593 214354 239974 275598 308538 321531 359961 423186 493717 634779 643062 719922 964593 987434 1079883 1269558 1481151 1929186 2159766 2962302 4302391 4443453 8604782 8886906 12907173 25814346 30116737 38721519 60233474 77443038 90350211 180700422 271050633 542101266