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46040040 = 233251953127
BaseRepresentation
bin1010111110100…
…0001111101000
310012122002001200
42233220033220
543241240130
64322444200
71066222344
oct257501750
9105562050
1046040040
1123a96622
1213503660
1396ccb37
146186624
154096760
hex2be83e8

46040040 has 192 divisors, whose sum is σ = 161740800. Its totient is φ = 11321856.

The previous prime is 46040009. The next prime is 46040069. The reversal of 46040040 is 4004064.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 46039995 and 46040022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362457 + ... + 362583.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 246040040 is an apocalyptic number.

46040040 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 46040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80870400).

46040040 is an abundant number, since it is smaller than the sum of its proper divisors (115700760).

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

46040040 is a wasteful number, since it uses less digits than its factorization.

46040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 46040040 is about 6785.2811290322. The cubic root of 46040040 is about 358.4087172691.

The spelling of 46040040 in words is "forty-six million, forty thousand, forty", and thus it is an eban number.