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40815072 = 2532141719
BaseRepresentation
bin1001101110110…
…0100111100000
32211210121202100
42123230213200
540422040242
64014450400
71003631244
oct233544740
984717670
1040815072
1121047a71
1211803a00
1385c083c
1455c6424
1538b354c
hex26ec9e0

40815072 has 36 divisors (see below), whose sum is σ = 116068680. Its totient is φ = 13604928.

The previous prime is 40815067. The next prime is 40815083. The reversal of 40815072 is 27051804.

40815072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 5 ways as a sum of consecutive naturals, for example, 70572 + ... + 71147.

It is an arithmetic number, because the mean of its divisors is an integer number (3224130).

Almost surely, 240815072 is an apocalyptic number.

It is an amenable number.

40815072 is an abundant number, since it is smaller than the sum of its proper divisors (75253608).

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

40815072 is a wasteful number, since it uses less digits than its factorization.

40815072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141735 (or 141724 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 40815072 is about 6388.6674666944. The cubic root of 40815072 is about 344.3025101731.

Adding to 40815072 its reverse (27051804), we get a palindrome (67866876).

The spelling of 40815072 in words is "forty million, eight hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 141719 283438 425157 566876 850314 1133752 1275471 1700628 2267504 2550942 3401256 4535008 5101884 6802512 10203768 13605024 20407536 40815072