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542917648 = 24721353269
BaseRepresentation
bin100000010111000…
…100010000010000
31101211121002000001
4200113010100100
52102441331043
6125512335344
716311503200
oct4027042020
91354532001
10542917648
11259510079
121319a4554
1388630960
1452168400
15329e474d
hex205c4410

542917648 has 60 divisors (see below), whose sum is σ = 1317793260. Its totient is φ = 214776576.

The previous prime is 542917607. The next prime is 542917651. The reversal of 542917648 is 846719245.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 481890304 = 7812^2 + 21952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 542917598 and 542917607.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16443 + ... + 36826.

It is an arithmetic number, because the mean of its divisors is an integer number (21963221).

Almost surely, 2542917648 is an apocalyptic number.

It is an amenable number.

542917648 is an abundant number, since it is smaller than the sum of its proper divisors (774875612).

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

542917648 is a wasteful number, since it uses less digits than its factorization.

542917648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53304 (or 53291 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 542917648 is about 23300.5932971673. The cubic root of 542917648 is about 815.7892653947.

The spelling of 542917648 in words is "five hundred forty-two million, nine hundred seventeen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 53269 106538 213076 372883 426152 692497 745766 852304 1384994 1491532 2610181 2769988 2983064 4847479 5220362 5539976 5966128 9694958 10440724 11079952 19389916 20881448 33932353 38779832 41762896 67864706 77559664 135729412 271458824 542917648