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40088004 = 22311833659
BaseRepresentation
bin1001100011101…
…1000111000100
32210102200101220
42120323013010
540230304004
63551120340
7664512435
oct230730704
983380356
1040088004
11206a0790
12115130b0
1383c7918
14547748c
1537bcdd9
hex263b1c4

40088004 has 48 divisors (see below), whose sum is σ = 103299840. Its totient is φ = 11998240.

The previous prime is 40087987. The next prime is 40088029.

40088004 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9127 + ... + 12785.

It is an arithmetic number, because the mean of its divisors is an integer number (2152080).

Almost surely, 240088004 is an apocalyptic number.

40088004 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 40088004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51649920).

40088004 is an abundant number, since it is smaller than the sum of its proper divisors (63211836).

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

40088004 is a wasteful number, since it uses less digits than its factorization.

40088004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40088004 is about 6331.5088249169. The cubic root of 40088004 is about 342.2458134977.

The spelling of 40088004 in words is "forty million, eighty-eight thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1826 2739 3652 3659 5478 7318 10956 10977 14636 21954 40249 43908 80498 120747 160996 241494 303697 482988 607394 911091 1214788 1822182 3340667 3644364 6681334 10022001 13362668 20044002 40088004