[go: up one dir, main page]

Search a number
-
+
40542656 = 2671119433
BaseRepresentation
bin1001101010101…
…0000111000000
32211021210001212
42122222013000
540334331111
64004545252
71001415110
oct232520700
984253055
1040542656
1120981330
12116b2228
13852684b
145555040
15385c98b
hex26aa1c0

40542656 has 112 divisors (see below), whose sum is σ = 105826560. Its totient is φ = 14929920.

The previous prime is 40542653. The next prime is 40542661. The reversal of 40542656 is 65624504.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40542653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93416 + ... + 93848.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 240542656 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 40542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52913280).

40542656 is an abundant number, since it is smaller than the sum of its proper divisors (65283904).

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

40542656 is a wasteful number, since it uses less digits than its factorization.

40542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 40542656 is about 6367.3115205713. The cubic root of 40542656 is about 343.5347957240.

The spelling of 40542656 in words is "forty million, five hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 433 448 532 608 616 704 836 866 1064 1216 1232 1463 1672 1732 2128 2464 2926 3031 3344 3464 4256 4763 4928 5852 6062 6688 6928 8227 8512 9526 11704 12124 13376 13856 16454 19052 23408 24248 27712 32908 33341 38104 46816 48496 57589 65816 66682 76208 90497 93632 96992 115178 131632 133364 152416 180994 193984 230356 263264 266728 304832 361988 460712 526528 533456 633479 723976 921424 1066912 1266958 1447952 1842848 2133824 2533916 2895904 3685696 5067832 5791808 10135664 20271328 40542656