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40698880 = 21057949
BaseRepresentation
bin1001101101000…
…0010000000000
32211120201100221
42123100100000
540404331010
64012152424
71002635425
oct233202000
984521327
1040698880
1120a78742
1211768714
13857c9a1
145595d4c
15388ddda
hex26d0400

40698880 has 44 divisors (see below), whose sum is σ = 97641900. Its totient is φ = 16277504.

The previous prime is 40698839. The next prime is 40698881. The reversal of 40698880 is 8889604.

It can be written as a sum of positive squares in 2 ways, for example, as 17040384 + 23658496 = 4128^2 + 4864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40698881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1146 + ... + 9094.

Almost surely, 240698880 is an apocalyptic number.

40698880 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 40698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48820950).

40698880 is an abundant number, since it is smaller than the sum of its proper divisors (56943020).

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

40698880 is an equidigital number, since it uses as much as digits as its factorization.

40698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 40698880 is about 6379.5673834516. The cubic root of 40698880 is about 343.9754804950.

It can be divided in two parts, 406 and 98880, that multiplied together give a triangular number (40145280 = T8960).

The spelling of 40698880 in words is "forty million, six hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 7949 15898 31796 39745 63592 79490 127184 158980 254368 317960 508736 635920 1017472 1271840 2034944 2543680 4069888 5087360 8139776 10174720 20349440 40698880