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40822848 = 26321117379
BaseRepresentation
bin1001101110111…
…0100001000000
32211211000102100
42123232201000
540422312343
64014550400
71003663023
oct233564100
984730370
1040822848
11210528a0
1211808400
1385c4241
1455c91ba
1538b59d3
hex26ee840

40822848 has 168 divisors, whose sum is σ = 135514080. Its totient is φ = 11612160.

The previous prime is 40822843. The next prime is 40822853. The reversal of 40822848 is 84822804.

It is an interprime number because it is at equal distance from previous prime (40822843) and next prime (40822853).

It is a super-2 number, since 2×408228482 = 3333009837662208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40822843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107523 + ... + 107901.

Almost surely, 240822848 is an apocalyptic number.

40822848 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 40822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67757040).

40822848 is an abundant number, since it is smaller than the sum of its proper divisors (94691232).

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

40822848 is a wasteful number, since it uses less digits than its factorization.

40822848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 40822848 is about 6389.2760153244. The cubic root of 40822848 is about 344.3243740433.

The spelling of 40822848 in words is "forty million, eight hundred twenty-two thousand, eight hundred forty-eight".