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42927104 = 2101137103
BaseRepresentation
bin1010001111000…
…0010000000000
32222202220220202
42203300100000
541442131404
64132024332
71030605623
oct243602000
988686822
1042927104
112225a850
12124620a8
138b7cc6c
1459b5dba
153b7e21e
hex28f0400

42927104 has 88 divisors (see below), whose sum is σ = 97076928. Its totient is φ = 18800640.

The previous prime is 42927037. The next prime is 42927109. The reversal of 42927104 is 40172924.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (42927109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416717 + ... + 416819.

Almost surely, 242927104 is an apocalyptic number.

42927104 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 42927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48538464).

42927104 is an abundant number, since it is smaller than the sum of its proper divisors (54149824).

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

42927104 is a wasteful number, since it uses less digits than its factorization.

42927104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 42927104 is about 6551.8778987402. The cubic root of 42927104 is about 350.1417221979.

The spelling of 42927104 in words is "forty-two million, nine hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 103 128 148 176 206 256 296 352 407 412 512 592 704 814 824 1024 1133 1184 1408 1628 1648 2266 2368 2816 3256 3296 3811 4532 4736 5632 6512 6592 7622 9064 9472 11264 13024 13184 15244 18128 18944 26048 26368 30488 36256 37888 41921 52096 52736 60976 72512 83842 104192 105472 121952 145024 167684 208384 243904 290048 335368 416768 487808 580096 670736 975616 1160192 1341472 1951232 2682944 3902464 5365888 10731776 21463552 42927104