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42373344 = 25313191787
BaseRepresentation
bin1010000110100…
…1000011100000
32221201210022010
42201221003200
541321421334
64112112520
71023111306
oct241510340
987653263
1042373344
1121a117a2
1212235740
138a17bb0
1458b0276
153ac00e9
hex28690e0

42373344 has 96 divisors (see below), whose sum is σ = 126161280. Its totient is φ = 12344832.

The previous prime is 42373327. The next prime is 42373403. The reversal of 42373344 is 44337324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22819 + ... + 24605.

It is an arithmetic number, because the mean of its divisors is an integer number (1314180).

Almost surely, 242373344 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 42373344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63080640).

42373344 is an abundant number, since it is smaller than the sum of its proper divisors (83787936).

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

42373344 is a wasteful number, since it uses less digits than its factorization.

42373344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1824 counting only the distinct ones).

The product of its digits is 24192, while the sum is 30.

The square root of 42373344 is about 6509.4810853093. The cubic root of 42373344 is about 348.6295908883.

The spelling of 42373344 in words is "forty-two million, three hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1787 1824 1976 2964 3574 3952 5361 5928 7148 7904 10722 11856 14296 21444 23231 23712 28592 33953 42888 46462 57184 67906 69693 85776 92924 101859 135812 139386 171552 185848 203718 271624 278772 371696 407436 441389 543248 557544 743392 814872 882778 1086496 1115088 1324167 1629744 1765556 2230176 2648334 3259488 3531112 5296668 7062224 10593336 14124448 21186672 42373344