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42373408 = 2571129593
BaseRepresentation
bin1010000110100…
…1000100100000
32221201210101111
42201221010200
541321422113
64112113104
71023111430
oct241510440
987653344
1042373408
1121a11850
1212235794
138a17c2c
1458b02c0
153ac013d
hex2869120

42373408 has 96 divisors (see below), whose sum is σ = 107775360. Its totient is φ = 15912960.

The previous prime is 42373403. The next prime is 42373421. The reversal of 42373408 is 80437324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42373408.

It is not an unprimeable number, because it can be changed into a prime (42373403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71160 + ... + 71752.

It is an arithmetic number, because the mean of its divisors is an integer number (1122660).

Almost surely, 242373408 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 42373408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53887680).

42373408 is an abundant number, since it is smaller than the sum of its proper divisors (65401952).

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

42373408 is a wasteful number, since it uses less digits than its factorization.

42373408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 42373408 is about 6509.4860012139. The cubic root of 42373408 is about 348.6297664097.

The spelling of 42373408 in words is "forty-two million, three hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 308 319 352 406 464 593 616 638 812 928 1186 1232 1276 1624 2233 2372 2464 2552 3248 4151 4466 4744 5104 6496 6523 8302 8932 9488 10208 13046 16604 17197 17864 18976 26092 33208 34394 35728 45661 52184 66416 68788 71456 91322 104368 120379 132832 137576 182644 189167 208736 240758 275152 365288 378334 481516 550304 730576 756668 963032 1324169 1461152 1513336 1926064 2648338 3026672 3852128 5296676 6053344 10593352 21186704 42373408