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42171808 = 257732579
BaseRepresentation
bin1010000011011…
…1110110100000
32221100112211211
42200313312200
541243444213
64103515504
71021311610
oct240676640
987315754
1042171808
1121894338
1212158b94
138977243
14585aa40
153a8053d
hex2837da0

42171808 has 48 divisors (see below), whose sum is σ = 96223680. Its totient is φ = 17819136.

The previous prime is 42171791. The next prime is 42171809. The reversal of 42171808 is 80817124.

It is a super-2 number, since 2×421718082 = 3556922779977728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42171808.

It is not an unprimeable number, because it can be changed into a prime (42171809) 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, 15063 + ... + 17641.

It is an arithmetic number, because the mean of its divisors is an integer number (2004660).

Almost surely, 242171808 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 42171808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48111840).

42171808 is an abundant number, since it is smaller than the sum of its proper divisors (54051872).

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

42171808 is a wasteful number, since it uses less digits than its factorization.

42171808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 42171808 is about 6493.9824453104. The cubic root of 42171808 is about 348.0759952057.

The spelling of 42171808 in words is "forty-two million, one hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 2579 4088 5158 8176 10316 16352 18053 20632 36106 41264 72212 82528 144424 188267 288848 376534 577696 753068 1317869 1506136 2635738 3012272 5271476 6024544 10542952 21085904 42171808