Search a number
-
+
42773376 = 2732329167
BaseRepresentation
bin1010001100101…
…0101110000000
32222111010001010
42203022232000
541422222001
64124440520
71026365502
oct243125600
988433033
1042773376
11221652a8
12123a9140
138b27cb9
145975d72
153b4d8d6
hex28cab80

42773376 has 128 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 13088768.

The previous prime is 42773359. The next prime is 42773413. The reversal of 42773376 is 67337724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256045 + ... + 256211.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 242773376 is an apocalyptic number.

42773376 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 42773376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

42773376 is an abundant number, since it is smaller than the sum of its proper divisors (80605824).

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

42773376 is a wasteful number, since it uses less digits than its factorization.

42773376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its digits is 148176, while the sum is 39.

The square root of 42773376 is about 6540.1357784071. The cubic root of 42773376 is about 349.7232533416.

The spelling of 42773376 in words is "forty-two million, seven hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 167 174 184 192 232 276 334 348 368 384 464 501 552 667 668 696 736 928 1002 1104 1334 1336 1392 1472 1856 2001 2004 2208 2668 2672 2784 2944 3712 3841 4002 4008 4416 4843 5336 5344 5568 7682 8004 8016 8832 9686 10672 10688 11136 11523 14529 15364 16008 16032 19372 21344 21376 23046 29058 30728 32016 32064 38744 42688 46092 58116 61456 64032 64128 77488 85376 92184 111389 116232 122912 128064 154976 184368 222778 232464 245824 256128 309952 334167 368736 445556 464928 491648 619904 668334 737472 891112 929856 1336668 1474944 1782224 1859712 2673336 3564448 5346672 7128896 10693344 14257792 21386688 42773376