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40821792 = 25311293143
BaseRepresentation
bin1001101110111…
…0010000100000
32211210221222020
42123232100200
540422244132
64014541440
71003656654
oct233562040
984727866
1040821792
1121052020
1211807880
1385c390b
1455c8a64
1538b552c
hex26ee420

40821792 has 192 divisors, whose sum is σ = 127733760. Its totient is φ = 11289600.

The previous prime is 40821787. The next prime is 40821797. The reversal of 40821792 is 29712804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40821787) and next prime (40821797).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40821797) 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 31 ways as a sum of consecutive naturals, for example, 949323 + ... + 949365.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 240821792 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 40821792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

40821792 is an abundant number, since it is smaller than the sum of its proper divisors (86911968).

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

40821792 is a wasteful number, since it uses less digits than its factorization.

40821792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 40821792 is about 6389.1933763191. The cubic root of 40821792 is about 344.3214050387.

The spelling of 40821792 in words is "forty million, eight hundred twenty-one thousand, seven hundred ninety-two".