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42376224 = 2531140129
BaseRepresentation
bin1010000110100…
…1110000100000
32221201221020210
42201221300200
541322014344
64112134120
71023122562
oct241516040
987657223
1042376224
1121a13980
1212237340
138a192b7
1458b1332
153ac0db9
hex2869c20

42376224 has 48 divisors (see below), whose sum is σ = 121353120. Its totient is φ = 12840960.

The previous prime is 42376181. The next prime is 42376237. The reversal of 42376224 is 42267324.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 42376191 and 42376200.

It is a congruent number.

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, 19009 + ... + 21120.

It is an arithmetic number, because the mean of its divisors is an integer number (2528190).

Almost surely, 242376224 is an apocalyptic number.

42376224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42376224 is an abundant number, since it is smaller than the sum of its proper divisors (78976896).

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

42376224 is a wasteful number, since it uses less digits than its factorization.

42376224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40153 (or 40145 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 42376224 is about 6509.7022973405. The cubic root of 42376224 is about 348.6374891752.

Subtracting from 42376224 its reverse (42267324), we obtain a square (108900 = 3302).

The spelling of 42376224 in words is "forty-two million, three hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 40129 80258 120387 160516 240774 321032 441419 481548 642064 882838 963096 1284128 1324257 1765676 1926192 2648514 3531352 3852384 5297028 7062704 10594056 14125408 21188112 42376224