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40155104 = 2511114077
BaseRepresentation
bin1001100100101…
…1011111100000
32210120002110002
42121023133200
540234430404
63552355132
7665212163
oct231133740
983502402
1040155104
1120737140
1211545aa8
13841c322
145493ada
1537d2c1e
hex264b7e0

40155104 has 24 divisors (see below), whose sum is σ = 86242968. Its totient is φ = 18252160.

The previous prime is 40155097. The next prime is 40155127.

40155104 is nontrivially palindromic in base 10.

40155104 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 2×401551042 = 3224864754501632, 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 3 ways as a sum of consecutive naturals, for example, 56687 + ... + 57390.

It is an arithmetic number, because the mean of its divisors is an integer number (3593457).

Almost surely, 240155104 is an apocalyptic number.

40155104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40155104 is an abundant number, since it is smaller than the sum of its proper divisors (46087864).

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

40155104 is a wasteful number, since it uses less digits than its factorization.

40155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114098 (or 114090 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 40155104 is about 6336.8055043531. The cubic root of 40155104 is about 342.4366593934.

It can be divided in two parts, 4015 and 5104, that added together give a palindrome (9119).

The spelling of 40155104 in words is "forty million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 114077 228154 456308 912616 1254847 1825232 2509694 3650464 5019388 10038776 20077552 40155104