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42955704 = 233311101179
BaseRepresentation
bin1010001111011…
…1001110111000
32222211101011000
42203313032320
541444040304
64132405000
71031055201
oct243671670
988741130
1042955704
112227a290
1212476760
138b8cc9c
1459c25a8
153b87939
hex28f73b8

42955704 has 128 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 12816000.

The previous prime is 42955687. The next prime is 42955723. The reversal of 42955704 is 40755924.

It is a super-2 number, since 2×429557042 = 3690385012271232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239887 + ... + 240065.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 242955704 is an apocalyptic number.

42955704 is a gapful number since it is divisible by the number (44) 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 42955704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

42955704 is an abundant number, since it is smaller than the sum of its proper divisors (89236296).

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

42955704 is a wasteful number, since it uses less digits than its factorization.

42955704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 42955704 is about 6554.0601156840. The cubic root of 42955704 is about 350.2194650783.

It can be divided in two parts, 4295 and 5704, that added together give a palindrome (9999).

The spelling of 42955704 in words is "forty-two million, nine hundred fifty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 101 108 132 179 198 202 216 264 297 303 358 396 404 537 594 606 716 792 808 909 1074 1111 1188 1212 1432 1611 1818 1969 2148 2222 2376 2424 2727 3222 3333 3636 3938 4296 4444 4833 5454 5907 6444 6666 7272 7876 8888 9666 9999 10908 11814 12888 13332 15752 17721 18079 19332 19998 21816 23628 26664 29997 35442 36158 38664 39996 47256 53163 54237 59994 70884 72316 79992 106326 108474 119988 141768 144632 162711 198869 212652 216948 239976 325422 397738 425304 433896 488133 596607 650844 795476 976266 1193214 1301688 1590952 1789821 1952532 2386428 3579642 3905064 4772856 5369463 7159284 10738926 14318568 21477852 42955704