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42814744 = 2374716267
BaseRepresentation
bin1010001101010…
…0110100011000
32222120012210021
42203110310120
541430032434
64125400224
71026630220
oct243246430
988505707
1042814744
1122193395
1212409074
138b40a8b
145987080
153b5acb4
hex28d4d18

42814744 has 32 divisors (see below), whose sum is σ = 93703680. Its totient is φ = 17957664.

The previous prime is 42814729. The next prime is 42814747. The reversal of 42814744 is 44741824.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42814747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5502 + ... + 10765.

It is an arithmetic number, because the mean of its divisors is an integer number (2928240).

Almost surely, 242814744 is an apocalyptic number.

It is an amenable number.

42814744 is an abundant number, since it is smaller than the sum of its proper divisors (50888936).

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

42814744 is a wasteful number, since it uses less digits than its factorization.

42814744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16327 (or 16323 counting only the distinct ones).

The product of its digits is 28672, while the sum is 34.

The square root of 42814744 is about 6543.2976395698. The cubic root of 42814744 is about 349.8359612252.

It can be divided in two parts, 4281 and 4744, that added together give a square (9025 = 952).

The spelling of 42814744 in words is "forty-two million, eight hundred fourteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 2632 16267 32534 65068 113869 130136 227738 455476 764549 910952 1529098 3058196 5351843 6116392 10703686 21407372 42814744