[go: up one dir, main page]

Search a number
-
+
40142652 = 223111013011
BaseRepresentation
bin1001100100100…
…0011100111100
32210112110100220
42121020130330
540234031102
63552221340
7665130654
oct231103474
983473326
1040142652
1120728850
121153a850
138416764
14548d364
1537ce1bc
hex264873c

40142652 has 48 divisors (see below), whose sum is σ = 103227264. Its totient is φ = 12040000.

The previous prime is 40142651. The next prime is 40142671. The reversal of 40142652 is 25624104.

It is a super-2 number, since 2×401426522 = 3222865019186208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40142651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11827 + ... + 14837.

It is an arithmetic number, because the mean of its divisors is an integer number (2150568).

Almost surely, 240142652 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 40142652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51613632).

40142652 is an abundant number, since it is smaller than the sum of its proper divisors (63084612).

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

40142652 is a wasteful number, since it uses less digits than its factorization.

40142652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3128 counting only the distinct ones).

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

The square root of 40142652 is about 6335.8229141920. The cubic root of 40142652 is about 342.4012594758.

Adding to 40142652 its reverse (25624104), we get a palindrome (65766756).

It can be divided in two parts, 4014 and 2652, that added together give a palindrome (6666).

The spelling of 40142652 in words is "forty million, one hundred forty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3011 3333 4444 6022 6666 9033 12044 13332 18066 33121 36132 66242 99363 132484 198726 304111 397452 608222 912333 1216444 1824666 3345221 3649332 6690442 10035663 13380884 20071326 40142652