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40072431 = 3743199223
BaseRepresentation
bin1001100011011…
…1010011101111
32210101220001010
42120313103233
540224304211
63550520303
7664416150
oct230672357
983356033
1040072431
1120690013
1211506093
1383c07c9
145471927
1537b84a6
hex26374ef

40072431 has 32 divisors (see below), whose sum is σ = 63078400. Its totient is φ = 22153824.

The previous prime is 40072427. The next prime is 40072441. The reversal of 40072431 is 13427004.

It is not a de Polignac number, because 40072431 - 22 = 40072427 is a prime.

It is a super-2 number, since 2×400724312 = 3211599452499522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40072398 and 40072407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40072441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179586 + ... + 179808.

It is an arithmetic number, because the mean of its divisors is an integer number (1971200).

Almost surely, 240072431 is an apocalyptic number.

40072431 is a deficient number, since it is larger than the sum of its proper divisors (23005969).

40072431 is a wasteful number, since it uses less digits than its factorization.

40072431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40072431 is about 6330.2789038083. The cubic root of 40072431 is about 342.2014903102.

Adding to 40072431 its reverse (13427004), we get a palindrome (53499435).

The spelling of 40072431 in words is "forty million, seventy-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 43 129 199 223 301 597 669 903 1393 1561 4179 4683 8557 9589 25671 28767 44377 59899 67123 133131 179697 201369 310639 931917 1908211 5724633 13357477 40072431