Search a number
-
+
40055004 = 223211101149
BaseRepresentation
bin1001100011001…
…1000011011100
32210101000010200
42120303003130
540223230004
63550303500
7664314303
oct230630334
983330120
1040055004
1120678a10
12114b7b90
1383b58b2
14546943a
1537b3239
hex26330dc

40055004 has 36 divisors (see below), whose sum is σ = 110455800. Its totient is φ = 12137760.

The previous prime is 40054999. The next prime is 40055017.

It is a happy number.

40055004 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50179 + ... + 50970.

Almost surely, 240055004 is an apocalyptic number.

40055004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40055004 is an abundant number, since it is smaller than the sum of its proper divisors (70400796).

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

40055004 is a wasteful number, since it uses less digits than its factorization.

40055004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101170 (or 101165 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40055004 is about 6328.9022744865. The cubic root of 40055004 is about 342.1518767319.

It can be divided in two parts, 4005 and 5004, that added together give a palindrome (9009).

The spelling of 40055004 in words is "forty million, fifty-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 101149 202298 303447 404596 606894 910341 1112639 1213788 1820682 2225278 3337917 3641364 4450556 6675834 10013751 13351668 20027502 40055004