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42347808 = 25321971109
BaseRepresentation
bin1010000110001…
…0110100100000
32221200111021100
42201202310200
541320112213
64111354400
71022643666
oct241426440
987614240
1042347808
11219a4598
1212222a00
138a09399
1458a4c36
153ab7773
hex2862d20

42347808 has 144 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 13063680.

The previous prime is 42347803. The next prime is 42347813. The reversal of 42347808 is 80874324.

It is an interprime number because it is at equal distance from previous prime (42347803) and next prime (42347813).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42347803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388458 + ... + 388566.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 242347808 is an apocalyptic number.

42347808 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 42347808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

42347808 is an abundant number, since it is smaller than the sum of its proper divisors (87381792).

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

42347808 is a wasteful number, since it uses less digits than its factorization.

42347808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42347808 is about 6507.5193430369. The cubic root of 42347808 is about 348.5595437521.

The spelling of 42347808 in words is "forty-two million, three hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 71 72 76 96 109 114 142 144 152 171 213 218 228 284 288 304 327 342 426 436 456 568 608 639 654 684 852 872 912 981 1136 1278 1308 1349 1368 1704 1744 1824 1962 2071 2272 2556 2616 2698 2736 3408 3488 3924 4047 4142 5112 5232 5396 5472 6213 6816 7739 7848 8094 8284 10224 10464 10792 12141 12426 15478 15696 16188 16568 18639 20448 21584 23217 24282 24852 30956 31392 32376 33136 37278 43168 46434 48564 49704 61912 64752 66272 69651 74556 92868 97128 99408 123824 129504 139302 147041 149112 185736 194256 198816 247648 278604 294082 298224 371472 388512 441123 557208 588164 596448 742944 882246 1114416 1176328 1323369 1764492 2228832 2352656 2646738 3528984 4705312 5293476 7057968 10586952 14115936 21173904 42347808