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40449880 = 23537151181
BaseRepresentation
bin1001101001001…
…1011101011000
32211010001210201
42122103131120
540323344010
64002551544
71000550452
oct232233530
984101721
1040449880
1120918659
12116685b4
1384c3553
14552d2d2
15384023a
hex2693758

40449880 has 64 divisors (see below), whose sum is σ = 94610880. Its totient is φ = 15552000.

The previous prime is 40449863. The next prime is 40449889. The reversal of 40449880 is 8894404.

40449880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40449889) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 223390 + ... + 223570.

It is an arithmetic number, because the mean of its divisors is an integer number (1478295).

Almost surely, 240449880 is an apocalyptic number.

40449880 is a gapful number since it is divisible by the number (40) 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 40449880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47305440).

40449880 is an abundant number, since it is smaller than the sum of its proper divisors (54161000).

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

40449880 is a wasteful number, since it uses less digits than its factorization.

40449880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 40449880 is about 6360.0220125405. The cubic root of 40449880 is about 343.2725523682.

It can be divided in two parts, 4044 and 9880, that added together give a square (13924 = 1182).

The spelling of 40449880 in words is "forty million, four hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 151 181 185 296 302 362 370 604 724 740 755 905 1208 1448 1480 1510 1810 3020 3620 5587 6040 6697 7240 11174 13394 22348 26788 27331 27935 33485 44696 53576 54662 55870 66970 109324 111740 133940 136655 218648 223480 267880 273310 546620 1011247 1093240 2022494 4044988 5056235 8089976 10112470 20224940 40449880