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42143444 = 22719372141
BaseRepresentation
bin1010000011000…
…0111011010100
32221022002221022
42200300323110
541242042234
64103140312
71021133120
oct240607324
987262838
1042143444
1121874aa2
1212144698
138967365
145850580
153a76e2e
hex2830ed4

42143444 has 48 divisors (see below), whose sum is σ = 91163520. Its totient is φ = 16640640.

The previous prime is 42143441. The next prime is 42143447. The reversal of 42143444 is 44434124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42143441) and next prime (42143447).

It is a super-2 number, since 2×421434442 = 3552139744362272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42143441) by changing a digit.

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, 18614 + ... + 20754.

It is an arithmetic number, because the mean of its divisors is an integer number (1899240).

Almost surely, 242143444 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 42143444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45581760).

42143444 is an abundant number, since it is smaller than the sum of its proper divisors (49020076).

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

42143444 is a wasteful number, since it uses less digits than its factorization.

42143444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2206 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 42143444 is about 6491.7982100494. The cubic root of 42143444 is about 347.9979411513.

Adding to 42143444 its reverse (44434124), we get a palindrome (86577568).

The spelling of 42143444 in words is "forty-two million, one hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 259 266 518 532 703 1036 1406 2141 2812 4282 4921 8564 9842 14987 19684 29974 40679 59948 79217 81358 158434 162716 284753 316868 554519 569506 1109038 1139012 1505123 2218076 3010246 6020492 10535861 21071722 42143444