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542351136 = 25317439757
BaseRepresentation
bin100000010100111…
…001111100100000
31101210112021220010
4200110321330200
52102320214021
6125452244520
716303623435
oct4024717440
91353467803
10542351136
11259163488
12131770740
1388492b42
145205bb8c
1532931976
hex20539f20

542351136 has 96 divisors (see below), whose sum is σ = 1512846720. Its totient is φ = 169537536.

The previous prime is 542351059. The next prime is 542351149. The reversal of 542351136 is 631153245.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716070 + ... + 716826.

It is an arithmetic number, because the mean of its divisors is an integer number (15758820).

Almost surely, 2542351136 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 542351136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756423360).

542351136 is an abundant number, since it is smaller than the sum of its proper divisors (970495584).

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

542351136 is a wasteful number, since it uses less digits than its factorization.

542351136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1218 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 542351136 is about 23288.4335239621. The cubic root of 542351136 is about 815.5054192475.

The spelling of 542351136 in words is "five hundred forty-two million, three hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 439 544 757 816 878 1317 1514 1632 1756 2271 2634 3028 3512 4542 5268 6056 7024 7463 9084 10536 12112 12869 14048 14926 18168 21072 22389 24224 25738 29852 36336 38607 42144 44778 51476 59704 72672 77214 89556 102952 119408 154428 179112 205904 238816 308856 332323 358224 411808 617712 664646 716448 996969 1235424 1329292 1993938 2658584 3987876 5317168 5649491 7975752 10634336 11298982 15951504 16948473 22597964 31903008 33896946 45195928 67793892 90391856 135587784 180783712 271175568 542351136