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40041024 = 263347601
BaseRepresentation
bin1001100010111…
…1101001000000
32210100021221220
42120233221000
540222303044
63550115040
7664225452
oct230575100
983307856
1040041024
1120669461
12114aba80
1383ac41a
1454642d2
1537ae019
hex262fa40

40041024 has 56 divisors (see below), whose sum is σ = 106423968. Its totient is φ = 13286400.

The previous prime is 40041007. The next prime is 40041073. The reversal of 40041024 is 42014004.

It is a junction number, because it is equal to n+sod(n) for n = 40040994 and 40041012.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 66324 + ... + 66924.

It is an arithmetic number, because the mean of its divisors is an integer number (1900428).

Almost surely, 240041024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53211984).

40041024 is an abundant number, since it is smaller than the sum of its proper divisors (66382944).

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

40041024 is a wasteful number, since it uses less digits than its factorization.

40041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 40041024 is about 6327.7977211665. The cubic root of 40041024 is about 342.1120661436.

Adding to 40041024 its reverse (42014004), we get a palindrome (82055028).

The spelling of 40041024 in words is "forty million, forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 347 601 694 1041 1202 1388 1803 2082 2404 2776 3606 4164 4808 5552 7212 8328 9616 11104 14424 16656 19232 22208 28848 33312 38464 57696 66624 115392 208547 417094 625641 834188 1251282 1668376 2502564 3336752 5005128 6673504 10010256 13347008 20020512 40041024