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40142322 = 23211296991
BaseRepresentation
bin1001100100100…
…0010111110010
32210112102220200
42121020113302
540234023242
63552220030
7665130003
oct231102762
983472820
1040142322
1120728580
121153a616
13841656c
14548d1aa
1537ce04c
hex26485f2

40142322 has 48 divisors (see below), whose sum is σ = 98167680. Its totient is φ = 11743200.

The previous prime is 40142281. The next prime is 40142339. The reversal of 40142322 is 22324104.

It is a super-2 number, since 2×401423222 = 3222812031103368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40142295 and 40142304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2247 + ... + 9237.

It is an arithmetic number, because the mean of its divisors is an integer number (2045160).

Almost surely, 240142322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40142322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49083840).

40142322 is an abundant number, since it is smaller than the sum of its proper divisors (58025358).

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

40142322 is a wasteful number, since it uses less digits than its factorization.

40142322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7039 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40142322 is about 6335.7968717439. The cubic root of 40142322 is about 342.4003212159.

Adding to 40142322 its reverse (22324104), we get a palindrome (62466426).

It can be divided in two parts, 4014 and 2322, that added together give a palindrome (6336).

The spelling of 40142322 in words is "forty million, one hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 6991 13982 20973 41946 62919 76901 125838 153802 202739 230703 405478 461406 608217 692109 1216434 1384218 1824651 2230129 3649302 4460258 6690387 13380774 20071161 40142322