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42666804 = 22331721367
BaseRepresentation
bin1010001011000…
…0101100110100
32222021200212000
42202300230310
541410314204
64122255300
71025443005
oct242605464
988250760
1042666804
11220a2224
1212357530
138abb63b
1459491ac
153b2c039
hex28b0b34

42666804 has 72 divisors (see below), whose sum is σ = 117593280. Its totient is φ = 13375872.

The previous prime is 42666797. The next prime is 42666829. The reversal of 42666804 is 40866624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 30529 + ... + 31895.

It is an arithmetic number, because the mean of its divisors is an integer number (1633240).

Almost surely, 242666804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42666804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58796640).

42666804 is an abundant number, since it is smaller than the sum of its proper divisors (74926476).

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

42666804 is a wasteful number, since it uses less digits than its factorization.

42666804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 42666804 is about 6531.9831598068. The cubic root of 42666804 is about 349.4325608057.

The spelling of 42666804 in words is "forty-two million, six hundred sixty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 459 578 612 867 918 1156 1367 1734 1836 2601 2734 3468 4101 5202 5468 7803 8202 10404 12303 15606 16404 23239 24606 31212 36909 46478 49212 69717 73818 92956 139434 147636 209151 278868 395063 418302 627453 790126 836604 1185189 1254906 1580252 2370378 2509812 3555567 4740756 7111134 10666701 14222268 21333402 42666804