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42923328 = 2637109293
BaseRepresentation
bin1010001110111…
…1010101000000
32222202201201220
42203233111000
541442021303
64131555040
71030561620
oct243572500
988681656
1042923328
1122257a28
121245ba80
138b7b326
1459b4880
153b7d053
hex28ef540

42923328 has 112 divisors (see below), whose sum is σ = 131429760. Its totient is φ = 12109824.

The previous prime is 42923311. The next prime is 42923347. The reversal of 42923328 is 82332924.

It is a tau number, because it is divible by the number of its divisors (112).

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, 146350 + ... + 146642.

It is an arithmetic number, because the mean of its divisors is an integer number (1173480).

Almost surely, 242923328 is an apocalyptic number.

42923328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65714880).

42923328 is an abundant number, since it is smaller than the sum of its proper divisors (88506432).

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

42923328 is a wasteful number, since it uses less digits than its factorization.

42923328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 42923328 is about 6551.5897307447. The cubic root of 42923328 is about 350.1314553828.

The spelling of 42923328 in words is "forty-two million, nine hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 109 112 168 192 218 224 293 327 336 436 448 586 654 672 763 872 879 1172 1308 1344 1526 1744 1758 2051 2289 2344 2616 3052 3488 3516 4102 4578 4688 5232 6104 6153 6976 7032 8204 9156 9376 10464 12208 12306 14064 16408 18312 18752 20928 24416 24612 28128 31937 32816 36624 48832 49224 56256 63874 65632 73248 95811 98448 127748 131264 146496 191622 196896 223559 255496 383244 393792 447118 510992 670677 766488 894236 1021984 1341354 1532976 1788472 2043968 2682708 3065952 3576944 5365416 6131904 7153888 10730832 14307776 21461664 42923328