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42666426 = 2351123347
BaseRepresentation
bin1010001011000…
…0100110111010
32222021200100000
42202300212322
541410311201
64122253430
71025441625
oct242604672
988250300
1042666426
11220a1a10
1212357276
138abb40a
145948dbc
153b2bd86
hex28b09ba

42666426 has 96 divisors (see below), whose sum is σ = 109444608. Its totient is φ = 12331440.

The previous prime is 42666397. The next prime is 42666433. The reversal of 42666426 is 62466624.

It is a super-2 number, since 2×426664262 = 3640847815226952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122785 + ... + 123131.

It is an arithmetic number, because the mean of its divisors is an integer number (1140048).

Almost surely, 242666426 is an apocalyptic number.

42666426 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42666426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54722304).

42666426 is an abundant number, since it is smaller than the sum of its proper divisors (66778182).

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

42666426 is a wasteful number, since it uses less digits than its factorization.

42666426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 42666426 is about 6531.9542251917. The cubic root of 42666426 is about 349.4315288880.

The spelling of 42666426 in words is "forty-two million, six hundred sixty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 243 253 297 347 414 486 506 594 621 694 759 891 1041 1242 1518 1782 1863 2082 2277 2673 3123 3726 3817 4554 5346 5589 6246 6831 7634 7981 9369 11178 11451 13662 15962 18738 20493 22902 23943 28107 34353 40986 47886 56214 61479 68706 71829 84321 87791 103059 122958 143658 168642 175582 206118 215487 263373 309177 430974 526746 618354 646461 790119 927531 1292922 1580238 1855062 1939383 2370357 3878766 4740714 7111071 14222142 21333213 42666426