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42950016 = 2732231621
BaseRepresentation
bin1010001111010…
…1110110000000
32222211002100100
42203311312000
541443400031
64132322400
71031032464
oct243656600
988732310
1042950016
1122275a8a
1212473400
138b8a515
1459c04a4
153b85de6
hex28f5d80

42950016 has 96 divisors (see below), whose sum is σ = 129046320. Its totient is φ = 13685760.

The previous prime is 42949997. The next prime is 42950021. The reversal of 42950016 is 61005924.

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 11 ways as a sum of consecutive naturals, for example, 25686 + ... + 27306.

Almost surely, 242950016 is an apocalyptic number.

42950016 is a gapful number since it is divisible by the number (46) 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 42950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64523160).

42950016 is an abundant number, since it is smaller than the sum of its proper divisors (86096304).

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

42950016 is a wasteful number, since it uses less digits than its factorization.

42950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42950016 is about 6553.6261718227. The cubic root of 42950016 is about 350.2040062368.

The spelling of 42950016 in words is "forty-two million, nine hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1621 1656 2208 2944 3242 3312 4416 4863 6484 6624 8832 9726 12968 13248 14589 19452 25936 26496 29178 37283 38904 51872 58356 74566 77808 103744 111849 116712 149132 155616 207488 223698 233424 298264 311232 335547 447396 466848 596528 622464 671094 894792 933696 1193056 1342188 1789584 1867392 2386112 2684376 3579168 4772224 5368752 7158336 10737504 14316672 21475008 42950016