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42666420 = 2235977331
BaseRepresentation
bin1010001011000…
…0100110110100
32222021200022210
42202300212310
541410311140
64122253420
71025441616
oct242604664
988250283
1042666420
11220a1a05
1212357270
138abb404
145948db6
153b2bd80
hex28b09b4

42666420 has 48 divisors (see below), whose sum is σ = 120714048. Its totient is φ = 11258880.

The previous prime is 42666397. The next prime is 42666433. The reversal of 42666420 is 2466624.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 2155 + ... + 9485.

It is an arithmetic number, because the mean of its divisors is an integer number (2514876).

Almost surely, 242666420 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 42666420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60357024).

42666420 is an abundant number, since it is smaller than the sum of its proper divisors (78047628).

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

42666420 is a wasteful number, since it uses less digits than its factorization.

42666420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 42666420 is about 6531.9537659111. The cubic root of 42666420 is about 349.4315125083.

The spelling of 42666420 in words is "forty-two million, six hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 7331 14662 21993 29324 36655 43986 73310 87972 109965 146620 219930 439860 711107 1422214 2133321 2844428 3555535 4266642 7111070 8533284 10666605 14222140 21333210 42666420