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42909312 = 273131853
BaseRepresentation
bin1010001110101…
…1111010000000
32222202000111210
42203223322000
541441044222
64131410120
71030503015
oct243537200
988660453
1042909312
1122248446
1212453940
138b74b34
1459ad70c
153b78d0c
hex28ebe80

42909312 has 64 divisors (see below), whose sum is σ = 114982560. Its totient is φ = 14177280.

The previous prime is 42909311. The next prime is 42909323. The reversal of 42909312 is 21390924.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 42909312.

It is not an unprimeable number, because it can be changed into a prime (42909311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49878 + ... + 50730.

Almost surely, 242909312 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 42909312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57491280).

42909312 is an abundant number, since it is smaller than the sum of its proper divisors (72073248).

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

42909312 is a wasteful number, since it uses less digits than its factorization.

42909312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 42909312 is about 6550.5199793604. The cubic root of 42909312 is about 350.0933410912.

The spelling of 42909312 in words is "forty-two million, nine hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 853 1048 1572 1706 2096 2559 3144 3412 4192 5118 6288 6824 8384 10236 12576 13648 16768 20472 25152 27296 40944 50304 54592 81888 109184 111743 163776 223486 327552 335229 446972 670458 893944 1340916 1787888 2681832 3575776 5363664 7151552 10727328 14303104 21454656 42909312