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18979072 = 28721789
BaseRepresentation
bin100100001100…
…1100100000000
31022201020101121
41020121210000
514324312242
61514442024
7320214400
oct110314400
938636347
1018979072
11a793292
126433314
133c16828
142740800
1519ed667
hex1219900

18979072 has 108 divisors (see below), whose sum is σ = 47185740. Its totient is φ = 7569408.

The previous prime is 18979067. The next prime is 18979073. The reversal of 18979072 is 27097981.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 9834496 = 3024^2 + 3136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18979073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213204 + ... + 213292.

It is an arithmetic number, because the mean of its divisors is an integer number (436905).

Almost surely, 218979072 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 18979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592870).

18979072 is an abundant number, since it is smaller than the sum of its proper divisors (28206668).

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

18979072 is an equidigital number, since it uses as much as digits as its factorization.

18979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 43.

The square root of 18979072 is about 4356.4976758860. The cubic root of 18979072 is about 266.7421564056.

The spelling of 18979072 in words is "eighteen million, nine hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 89 98 112 119 128 136 178 196 224 238 256 272 356 392 448 476 544 623 712 784 833 896 952 1088 1246 1424 1513 1568 1666 1792 1904 2176 2492 2848 3026 3136 3332 3808 4352 4361 4984 5696 6052 6272 6664 7616 8722 9968 10591 11392 12104 12544 13328 15232 17444 19936 21182 22784 24208 26656 30464 34888 39872 42364 48416 53312 69776 74137 79744 84728 96832 106624 139552 148274 159488 169456 193664 213248 279104 296548 338912 387328 558208 593096 677824 1116416 1186192 1355648 2372384 2711296 4744768 9489536 18979072