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42144324 = 22322315749
BaseRepresentation
bin1010000011000…
…1001001000100
32221022011010220
42200301021010
541242104244
64103144340
71021135515
oct240611104
987264126
1042144324
1121875722
12121450b0
138967891
145850a0c
153a77319
hex2831244

42144324 has 24 divisors (see below), whose sum is σ = 98784000. Its totient is φ = 13984224.

The previous prime is 42144307. The next prime is 42144331. The reversal of 42144324 is 42344124.

It is a happy number.

It is a super-2 number, since 2×421443242 = 3552288090833952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42144294 and 42144303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5199 + ... + 10550.

It is an arithmetic number, because the mean of its divisors is an integer number (4116000).

Almost surely, 242144324 is an apocalyptic number.

It is an amenable number.

42144324 is an abundant number, since it is smaller than the sum of its proper divisors (56639676).

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

42144324 is a wasteful number, since it uses less digits than its factorization.

42144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15979 (or 15977 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 42144324 is about 6491.8659875262. The cubic root of 42144324 is about 348.0003633237. Note that the first 3 decimals are identical.

Adding to 42144324 its reverse (42344124), we get a palindrome (84488448).

The spelling of 42144324 in words is "forty-two million, one hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 223 446 669 892 1338 2676 15749 31498 47247 62996 94494 188988 3512027 7024054 10536081 14048108 21072162 42144324