Search a number
-
+
40825512 = 23337133167
BaseRepresentation
bin1001101110111…
…1001010101000
32211211011002000
42123233022220
540422404022
64015011000
71004003550
oct233571250
984734060
1040825512
11210548a2
1211809a60
1385c5510
1455ca160
1538b66ac
hex26ef2a8

40825512 has 256 divisors, whose sum is σ = 146227200. Its totient is φ = 10264320.

The previous prime is 40825489. The next prime is 40825523. The reversal of 40825512 is 21552804.

It is a happy number.

40825512 is a `hidden beast` number, since 408 + 255 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609303 + ... + 609369.

It is an arithmetic number, because the mean of its divisors is an integer number (571200).

Almost surely, 240825512 is an apocalyptic number.

40825512 is a gapful number since it is divisible by the number (42) 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 40825512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73113600).

40825512 is an abundant number, since it is smaller than the sum of its proper divisors (105401688).

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

40825512 is a wasteful number, since it uses less digits than its factorization.

40825512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 40825512 is about 6389.4844862477. The cubic root of 40825512 is about 344.3318638047.

The spelling of 40825512 in words is "forty million, eight hundred twenty-five thousand, five hundred twelve".