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45402126 = 237211101139
BaseRepresentation
bin1010110100110…
…0100000001110
310011102200000020
42231030200032
543110332001
64301043010
71060624500
oct255144016
9104380006
1045402126
11236a0320
1213256466
139538683
14605bd70
153ebc736
hex2b4c80e

45402126 has 96 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 11592000.

The previous prime is 45402103. The next prime is 45402143. The reversal of 45402126 is 62120454.

It is a super-2 number, since 2×454021262 = 4122706090639752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45402096 and 45402105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326565 + ... + 326703.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 245402126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45402126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

45402126 is an abundant number, since it is smaller than the sum of its proper divisors (71808114).

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

45402126 is a wasteful number, since it uses less digits than its factorization.

45402126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45402126 is about 6738.1099723884. The cubic root of 45402126 is about 356.7456858529.

It can be divided in two parts, 4540 and 2126, that added together give a palindrome (6666).

The spelling of 45402126 in words is "forty-five million, four hundred two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 101 139 147 154 202 231 278 294 303 417 462 539 606 707 834 973 1078 1111 1414 1529 1617 1946 2121 2222 2919 3058 3234 3333 4242 4587 4949 5838 6666 6811 7777 9174 9898 10703 13622 14039 14847 15554 20433 21406 23331 28078 29694 32109 40866 42117 46662 54439 64218 74921 84234 98273 108878 149842 154429 163317 196546 224763 294819 308858 326634 449526 463287 589638 687911 926574 1081003 1375822 2063733 2162006 3243009 4127466 6486018 7567021 15134042 22701063 45402126