Search a number
-
+
40490928 = 2434157199
BaseRepresentation
bin1001101001110…
…1011110110000
32211012011010000
42122131132300
540331202203
64003510000
71001111232
oct232353660
984164100
1040490928
1120946485
1211688300
13850913a
145540252
15384c4a3
hex269d7b0

40490928 has 100 divisors (see below), whose sum is σ = 118531600. Its totient is φ = 13343616.

The previous prime is 40490927. The next prime is 40490939. The reversal of 40490928 is 82909404.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 40490892 and 40490901.

It is not an unprimeable number, because it can be changed into a prime (40490927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203373 + ... + 203571.

It is an arithmetic number, because the mean of its divisors is an integer number (1185316).

Almost surely, 240490928 is an apocalyptic number.

40490928 is a gapful number since it is divisible by the number (48) 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 40490928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59265800).

40490928 is an abundant number, since it is smaller than the sum of its proper divisors (78040672).

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

40490928 is a wasteful number, since it uses less digits than its factorization.

40490928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40490928 is about 6363.2482271243. The cubic root of 40490928 is about 343.3886292522.

The spelling of 40490928 in words is "forty million, four hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 157 162 199 216 314 324 398 432 471 597 628 648 796 942 1194 1256 1296 1413 1592 1791 1884 2388 2512 2826 3184 3582 3768 4239 4776 5373 5652 7164 7536 8478 9552 10746 11304 12717 14328 16119 16956 21492 22608 25434 28656 31243 32238 33912 42984 50868 62486 64476 67824 85968 93729 101736 124972 128952 187458 203472 249944 257904 281187 374916 499888 562374 749832 843561 1124748 1499664 1687122 2249496 2530683 3374244 4498992 5061366 6748488 10122732 13496976 20245464 40490928