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42473431 = 71113151281
BaseRepresentation
bin1010001000000…
…1011111010111
32221220212121001
42202001133113
541333122211
64114204131
71024006150
oct242013727
987825531
1042473431
1121a7aa10
1212283647
138a51610
1458d8927
153adeac1
hex28817d7

42473431 has 32 divisors (see below), whose sum is σ = 57609216. Its totient is φ = 30240000.

The previous prime is 42473419. The next prime is 42473443. The reversal of 42473431 is 13437424.

42473431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42473419) and next prime (42473443).

It is not a de Polignac number, because 42473431 - 211 = 42471383 is a prime.

It is a super-2 number, since 2×424734312 = 3607984681823522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42473431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42473401) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 151011 + ... + 151291.

It is an arithmetic number, because the mean of its divisors is an integer number (1800288).

Almost surely, 242473431 is an apocalyptic number.

42473431 is a deficient number, since it is larger than the sum of its proper divisors (15135785).

42473431 is a wasteful number, since it uses less digits than its factorization.

42473431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463.

The product of its digits is 8064, while the sum is 28.

The square root of 42473431 is about 6517.1643373480. The cubic root of 42473431 is about 348.9038659364.

The spelling of 42473431 in words is "forty-two million, four hundred seventy-three thousand, four hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 151 281 1001 1057 1661 1963 1967 3091 3653 11627 13741 21593 21637 25571 40183 42431 151151 281281 297017 466741 551603 3267187 3861221 6067633 42473431