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42958816 = 2541137239
BaseRepresentation
bin1010001111011…
…1111111100000
32222211112102021
42203313333200
541444140231
64132431224
71031100235
oct243677740
988745367
1042958816
112228165a
1212478514
138b91524
1459c378c
153b88811
hex28f7fe0

42958816 has 48 divisors (see below), whose sum is σ = 87635520. Its totient is φ = 20715520.

The previous prime is 42958807. The next prime is 42958819. The reversal of 42958816 is 61885924.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42958819) 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, 179625 + ... + 179863.

It is an arithmetic number, because the mean of its divisors is an integer number (1825740).

Almost surely, 242958816 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 42958816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43817760).

42958816 is an abundant number, since it is smaller than the sum of its proper divisors (44676704).

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

42958816 is a wasteful number, since it uses less digits than its factorization.

42958816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 42958816 is about 6554.2975214740. The cubic root of 42958816 is about 350.2279222916.

The spelling of 42958816 in words is "forty-two million, nine hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 41 82 137 164 239 274 328 478 548 656 956 1096 1312 1912 2192 3824 4384 5617 7648 9799 11234 19598 22468 32743 39196 44936 65486 78392 89872 130972 156784 179744 261944 313568 523888 1047776 1342463 2684926 5369852 10739704 21479408 42958816