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46464642 = 23272139379
BaseRepresentation
bin1011000100111…
…1111010000010
310020102122111200
42301033322002
543343332032
64335522030
71102641300
oct261177202
9106378450
1046464642
1124256634
1213689316
13981b193
146257270
15412c47c
hex2c4fe82

46464642 has 72 divisors (see below), whose sum is σ = 118263600. Its totient is φ = 13145328.

The previous prime is 46464631. The next prime is 46464647. The reversal of 46464642 is 24646464.

It is a happy number.

46464642 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 4 + 642 = 666.

46464642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46464597 and 46464606.

It is not an unprimeable number, because it can be changed into a prime (46464647) 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 35 ways as a sum of consecutive naturals, for example, 122409 + ... + 122787.

It is an arithmetic number, because the mean of its divisors is an integer number (1642550).

Almost surely, 246464642 is an apocalyptic number.

46464642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46464642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59131800).

46464642 is an abundant number, since it is smaller than the sum of its proper divisors (71798958).

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

46464642 is a wasteful number, since it uses less digits than its factorization.

46464642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 46464642 is about 6816.4977811190. The cubic root of 46464642 is about 359.5071496557.

It can be divided in two parts, 4 and 6464642, that added together give a palindrome (6464646).

The spelling of 46464642 in words is "forty-six million, four hundred sixty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 139 147 278 294 379 417 441 758 834 882 973 1137 1251 1946 2274 2502 2653 2919 3411 5306 5838 6811 6822 7959 8757 13622 15918 17514 18571 20433 23877 37142 40866 47754 52681 55713 61299 105362 111426 122598 158043 167139 316086 334278 368767 474129 737534 948258 1106301 2212602 2581369 3318903 5162738 6637806 7744107 15488214 23232321 46464642