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542703616 = 21672132
BaseRepresentation
bin100000010110010…
…000000000000000
31101211012012101221
4200112100000000
52102413003431
6125504004424
716306622200
oct4026200000
91354165357
10542703616
11259384294
12131900714
1388587400
1452110400
15329a1111
hex20590000

542703616 has 153 divisors (see below), whose sum is σ = 1367201601. Its totient is φ = 214695936.

The previous prime is 542703613. The next prime is 542703619. The reversal of 542703616 is 616307245.

It is a happy number.

The square root of 542703616 is 23296.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (542703613) and next prime (542703619).

It can be written as a sum of positive squares in only one way, i.e., 80281600 + 462422016 = 8960^2 + 21504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (542703611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41746426 + ... + 41746438.

Almost surely, 2542703616 is an apocalyptic number.

542703616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

542703616 is the 23296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542703616

542703616 is an abundant number, since it is smaller than the sum of its proper divisors (824497985).

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

542703616 is an frugal number, since it uses more digits than its factorization.

542703616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The cubic root of 542703616 is about 815.6820496513.

The spelling of 542703616 in words is "five hundred forty-two million, seven hundred three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 169 182 196 208 224 256 338 364 392 416 448 512 637 676 728 784 832 896 1024 1183 1274 1352 1456 1568 1664 1792 2048 2366 2548 2704 2912 3136 3328 3584 4096 4732 5096 5408 5824 6272 6656 7168 8192 8281 9464 10192 10816 11648 12544 13312 14336 16384 16562 18928 20384 21632 23296 25088 26624 28672 32768 33124 37856 40768 43264 46592 50176 53248 57344 65536 66248 75712 81536 86528 93184 100352 106496 114688 132496 151424 163072 173056 186368 200704 212992 229376 264992 302848 326144 346112 372736 401408 425984 458752 529984 605696 652288 692224 745472 802816 851968 1059968 1211392 1304576 1384448 1490944 1605632 2119936 2422784 2609152 2768896 2981888 3211264 4239872 4845568 5218304 5537792 5963776 8479744 9691136 10436608 11075584 16959488 19382272 20873216 33918976 38764544 41746432 67837952 77529088 135675904 271351808 542703616