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40273506 = 232713231069
BaseRepresentation
bin1001100110100…
…0011001100010
32210210002212100
42121220121202
540302223011
63555111230
7666214320
oct231503142
983702770
1040273506
1120808099
12115a2516
1384611a0
1454c4d10
153807d56
hex2668662

40273506 has 96 divisors (see below), whose sum is σ = 112170240. Its totient is φ = 10150272.

The previous prime is 40273477. The next prime is 40273517. The reversal of 40273506 is 60537204.

It is a happy number.

40273506 is nontrivially palindromic in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 40273506.

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, 37140 + ... + 38208.

It is an arithmetic number, because the mean of its divisors is an integer number (1168440).

Almost surely, 240273506 is an apocalyptic number.

40273506 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40273506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56085120).

40273506 is an abundant number, since it is smaller than the sum of its proper divisors (71896734).

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

40273506 is a wasteful number, since it uses less digits than its factorization.

40273506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40273506 is about 6346.1410321549. The cubic root of 40273506 is about 342.7729005826.

The spelling of 40273506 in words is "forty million, two hundred seventy-three thousand, five hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 63 69 78 91 117 126 138 161 182 207 234 273 299 322 414 483 546 598 819 897 966 1069 1449 1638 1794 2093 2138 2691 2898 3207 4186 5382 6279 6414 7483 9621 12558 13897 14966 18837 19242 22449 24587 27794 37674 41691 44898 49174 67347 73761 83382 97279 125073 134694 147522 172109 194558 221283 250146 291837 319631 344218 442566 516327 583674 639262 875511 958893 1032654 1548981 1751022 1917786 2237417 2876679 3097962 4474834 5753358 6712251 13424502 20136753 40273506