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40103052 = 223111492039
BaseRepresentation
bin1001100011111…
…0110010001100
32210110110001020
42120332302030
540231244202
63551314140
7664604343
oct230766214
983413036
1040103052
1120701020
121151b950
138401722
14547cb5a
1537c25bc
hex263ec8c

40103052 has 48 divisors (see below), whose sum is σ = 102816000. Its totient is φ = 12064960.

The previous prime is 40103039. The next prime is 40103059. The reversal of 40103052 is 25030104.

40103052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40103059) 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, 18649 + ... + 20687.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 240103052 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 40103052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

40103052 is an abundant number, since it is smaller than the sum of its proper divisors (62712948).

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

40103052 is a wasteful number, since it uses less digits than its factorization.

40103052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 40103052 is about 6332.6970557575. The cubic root of 40103052 is about 342.2886315498.

Adding to 40103052 its reverse (25030104), we get a palindrome (65133156).

The spelling of 40103052 in words is "forty million, one hundred three thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 2039 3278 4078 4917 6117 6556 8156 9834 12234 19668 22429 24468 44858 67287 89716 134574 269148 303811 607622 911433 1215244 1822866 3341921 3645732 6683842 10025763 13367684 20051526 40103052