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40187004 = 223112132129
BaseRepresentation
bin1001100101001…
…1010001111100
32210121201012120
42121103101330
540241441004
63553202540
7665404164
oct231232174
983551176
1040187004
1120759100
1211560450
1384309c0
1454a15a4
1537dc3d9
hex265347c

40187004 has 72 divisors (see below), whose sum is σ = 111049680. Its totient is φ = 11235840.

The previous prime is 40186999. The next prime is 40187027. The reversal of 40187004 is 40078104.

40187004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401870042 = 3229990580992032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17812 + ... + 19940.

Almost surely, 240187004 is an apocalyptic number.

40187004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40187004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55524840).

40187004 is an abundant number, since it is smaller than the sum of its proper divisors (70862676).

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

40187004 is a wasteful number, since it uses less digits than its factorization.

40187004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 40187004 is about 6339.3220457711. The cubic root of 40187004 is about 342.5273148514.

Subtracting from 40187004 its reverse (40078104), we obtain a square (108900 = 3302).

The spelling of 40187004 in words is "forty million, one hundred eighty-seven thousand, four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 2129 3146 4258 4719 6292 6387 8516 9438 12774 18876 23419 25548 27677 46838 55354 70257 83031 93676 110708 140514 166062 257609 281028 304447 332124 515218 608894 772827 913341 1030436 1217788 1545654 1826682 3091308 3348917 3653364 6697834 10046751 13395668 20093502 40187004