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42055464 = 23311241661
BaseRepresentation
bin1010000001101…
…1011100101000
32221010122020210
42200123130220
541231233324
64101221120
71020315453
oct240333450
987118223
1042055464
1121814990
12121017a0
1389362b9
14582a49a
153a5ad29
hex281b728

42055464 has 64 divisors (see below), whose sum is σ = 115346880. Its totient is φ = 12672000.

The previous prime is 42055451. The next prime is 42055471. The reversal of 42055464 is 46455024.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63294 + ... + 63954.

It is an arithmetic number, because the mean of its divisors is an integer number (1802295).

Almost surely, 242055464 is an apocalyptic number.

42055464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42055464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57673440).

42055464 is an abundant number, since it is smaller than the sum of its proper divisors (73291416).

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

42055464 is a wasteful number, since it uses less digits than its factorization.

42055464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 42055464 is about 6485.0184271134. The cubic root of 42055464 is about 347.7556085663.

It can be divided in two parts, 4205 and 5464, that added together give a palindrome (9669).

The spelling of 42055464 in words is "forty-two million, fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 241 264 482 661 723 964 1322 1446 1928 1983 2644 2651 2892 3966 5288 5302 5784 7271 7932 7953 10604 14542 15864 15906 21208 21813 29084 31812 43626 58168 63624 87252 159301 174504 318602 477903 637204 955806 1274408 1752311 1911612 3504622 3823224 5256933 7009244 10513866 14018488 21027732 42055464