Search a number
-
+
40792180 = 225111317839
BaseRepresentation
bin1001101110011…
…1000001110100
32211202110100111
42123213001310
540420322210
64014152404
71003504432
oct233470164
984673314
1040792180
1121031850
12117b2704
1385b32b0
1455bbd52
1538ab88a
hex26e7074

40792180 has 96 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 12871680.

The previous prime is 40792159. The next prime is 40792237. The reversal of 40792180 is 8129704.

40792180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48201 + ... + 49039.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 240792180 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 40792180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

40792180 is an abundant number, since it is smaller than the sum of its proper divisors (65894540).

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

40792180 is a wasteful number, since it uses less digits than its factorization.

40792180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 40792180 is about 6386.8756054897. The cubic root of 40792180 is about 344.2381283431.

The spelling of 40792180 in words is "forty million, seven hundred ninety-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 130 143 170 187 220 221 260 286 340 374 442 572 715 748 839 884 935 1105 1430 1678 1870 2210 2431 2860 3356 3740 4195 4420 4862 8390 9229 9724 10907 12155 14263 16780 18458 21814 24310 28526 36916 43628 46145 48620 54535 57052 71315 92290 109070 119977 142630 156893 184580 185419 218140 239954 285260 313786 370838 479908 599885 627572 741676 784465 927095 1199770 1568930 1854190 2039609 2399540 3137860 3708380 4079218 8158436 10198045 20396090 40792180