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42373368 = 233571307
BaseRepresentation
bin1010000110100…
…1000011111000
32221201210100000
42201221003320
541321421433
64112113000
71023111342
oct241510370
987653300
1042373368
1121a11814
1212235760
138a17bcb
1458b0292
153ac0113
hex28690f8

42373368 has 96 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 13880160.

The previous prime is 42373327. The next prime is 42373403. The reversal of 42373368 is 86337324.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 137871 + ... + 138177.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 242373368 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 42373368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

42373368 is an abundant number, since it is smaller than the sum of its proper divisors (78707592).

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

42373368 is a wasteful number, since it uses less digits than its factorization.

42373368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 42373368 is about 6509.4829287740. The cubic root of 42373368 is about 348.6296567089.

It can be divided in two parts, 423733 and 68, that added together give a square (423801 = 6512).

The spelling of 42373368 in words is "forty-two million, three hundred seventy-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 243 284 307 324 426 486 568 614 639 648 852 921 972 1228 1278 1704 1842 1917 1944 2456 2556 2763 3684 3834 5112 5526 5751 7368 7668 8289 11052 11502 15336 16578 17253 21797 22104 23004 24867 33156 34506 43594 46008 49734 65391 66312 69012 74601 87188 99468 130782 138024 149202 174376 196173 198936 261564 298404 392346 523128 588519 596808 784692 1177038 1569384 1765557 2354076 3531114 4708152 5296671 7062228 10593342 14124456 21186684 42373368