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42350176 = 2511235231
BaseRepresentation
bin1010000110001…
…1011001100000
32221200121112001
42201203121200
541320201201
64111413344
71022653621
oct241433140
987617461
1042350176
11219a6350
1212224254
138a0a49b
1458a5a48
153ab8301
hex2863660

42350176 has 48 divisors (see below), whose sum is σ = 94929408. Its totient is φ = 18409600.

The previous prime is 42350173. The next prime is 42350177. The reversal of 42350176 is 67105324.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42350173) 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, 5481 + ... + 10711.

It is an arithmetic number, because the mean of its divisors is an integer number (1977696).

Almost surely, 242350176 is an apocalyptic number.

42350176 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 42350176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47464704).

42350176 is an abundant number, since it is smaller than the sum of its proper divisors (52579232).

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

42350176 is a wasteful number, since it uses less digits than its factorization.

42350176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 42350176 is about 6507.7012838636. The cubic root of 42350176 is about 348.5660405356.

The spelling of 42350176 in words is "forty-two million, three hundred fifty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 5231 8096 10462 20924 41848 57541 83696 115082 120313 167392 230164 240626 460328 481252 920656 962504 1323443 1841312 1925008 2646886 3850016 5293772 10587544 21175088 42350176