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40888480 = 2552341271
BaseRepresentation
bin1001101111111…
…0100010100000
32211221100110011
42123332202200
540431412410
64020214304
71004355253
oct233764240
984840404
1040888480
1121098136
121183a394
138618089
14560509a
1538ca18a
hex26fe8a0

40888480 has 96 divisors (see below), whose sum is σ = 103638528. Its totient is φ = 15206400.

The previous prime is 40888453. The next prime is 40888487. The reversal of 40888480 is 8488804.

40888480 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 (40).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (40888487) 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, 150745 + ... + 151015.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 240888480 is an apocalyptic number.

40888480 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 40888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51819264).

40888480 is an abundant number, since it is smaller than the sum of its proper divisors (62750048).

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

40888480 is a wasteful number, since it uses less digits than its factorization.

40888480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 40888480 is about 6394.4100587935. The cubic root of 40888480 is about 344.5088017872.

It can be divided in two parts, 408 and 88480, that added together give a palindrome (88888).

The spelling of 40888480 in words is "forty million, eight hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 41 46 80 82 92 115 160 164 184 205 230 271 328 368 410 460 542 656 736 820 920 943 1084 1312 1355 1640 1840 1886 2168 2710 3280 3680 3772 4336 4715 5420 6233 6560 7544 8672 9430 10840 11111 12466 15088 18860 21680 22222 24932 30176 31165 37720 43360 44444 49864 55555 62330 75440 88888 99728 111110 124660 150880 177776 199456 222220 249320 255553 355552 444440 498640 511106 888880 997280 1022212 1277765 1777760 2044424 2555530 4088848 5111060 8177696 10222120 20444240 40888480