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42410624 = 27331333
BaseRepresentation
bin1010000111001…
…0001010000000
32221210200102212
42201302022000
541324114444
64113001252
71023325064
oct241621200
987720385
1042410624
1121a37803
1212253228
138a2bb59
1458bdaa4
153acb19e
hex2872280

42410624 has 16 divisors (see below), whose sum is σ = 84490170. Its totient is φ = 21205248.

The previous prime is 42410623. The next prime is 42410651. The reversal of 42410624 is 42601424.

It can be written as a sum of positive squares in only one way, i.e., 41473600 + 937024 = 6440^2 + 968^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×424106242 = 3597322056138752, 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 42410624.

It is not an unprimeable number, because it can be changed into a prime (42410623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165539 + ... + 165794.

Almost surely, 242410624 is an apocalyptic number.

It is an amenable number.

42410624 is a deficient number, since it is larger than the sum of its proper divisors (42079546).

42410624 is an equidigital number, since it uses as much as digits as its factorization.

42410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331347 (or 331335 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 42410624 is about 6512.3439712595. The cubic root of 42410624 is about 348.7318021705.

It can be divided in two parts, 42410 and 624, that added together give a palindrome (43034).

The spelling of 42410624 in words is "forty-two million, four hundred ten thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 331333 662666 1325332 2650664 5301328 10602656 21205312 42410624