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42854208 = 263613659
BaseRepresentation
bin1010001101111…
…0011101000000
32222122012220220
42203132131000
541432313313
64130303040
71030153245
oct243363500
988565826
1042854208
1122210001
1212427a80
138b55a27
1459975cc
153b67823
hex28de740

42854208 has 56 divisors (see below), whose sum is σ = 115275360. Its totient is φ = 14046720.

The previous prime is 42854197. The next prime is 42854219. The reversal of 42854208 is 80245824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42854197) and next prime (42854219).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9883 + ... + 13541.

Almost surely, 242854208 is an apocalyptic number.

42854208 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 42854208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57637680).

42854208 is an abundant number, since it is smaller than the sum of its proper divisors (72421152).

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

42854208 is a wasteful number, since it uses less digits than its factorization.

42854208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 42854208 is about 6546.3125498253. The cubic root of 42854208 is about 349.9434139812.

The spelling of 42854208 in words is "forty-two million, eight hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2928 3659 3904 5856 7318 10977 11712 14636 21954 29272 43908 58544 87816 117088 175632 223199 234176 351264 446398 669597 702528 892796 1339194 1785592 2678388 3571184 5356776 7142368 10713552 14284736 21427104 42854208