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42898284 = 223211132641
BaseRepresentation
bin1010001110100…
…1001101101100
32222201110101100
42203221031230
541440221114
64131243100
71030425612
oct243511554
988643340
1042898284
1122240130
1212449490
138b6cb00
1459a96b2
153b75909
hex28e936c

42898284 has 108 divisors (see below), whose sum is σ = 128294712. Its totient is φ = 11980800.

The previous prime is 42898283. The next prime is 42898309. The reversal of 42898284 is 48289824.

It is a happy number.

42898284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42898283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66604 + ... + 67244.

It is an arithmetic number, because the mean of its divisors is an integer number (1187914).

Almost surely, 242898284 is an apocalyptic number.

42898284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42898284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64147356).

42898284 is an abundant number, since it is smaller than the sum of its proper divisors (85396428).

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

42898284 is a wasteful number, since it uses less digits than its factorization.

42898284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 670 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 42898284 is about 6549.6781600320. The cubic root of 42898284 is about 350.0633463574.

The spelling of 42898284 in words is "forty-two million, eight hundred ninety-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 169 198 234 286 338 396 429 468 507 572 641 676 858 1014 1282 1287 1521 1716 1859 1923 2028 2564 2574 3042 3718 3846 5148 5577 5769 6084 7051 7436 7692 8333 11154 11538 14102 16666 16731 21153 22308 23076 24999 28204 33332 33462 42306 49998 63459 66924 74997 84612 91663 99996 108329 126918 149994 183326 216658 253836 274989 299988 324987 366652 433316 549978 649974 824967 974961 1099956 1191619 1299948 1649934 1949922 2383238 3299868 3574857 3899844 4766476 7149714 10724571 14299428 21449142 42898284