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46930240 = 265724173
BaseRepresentation
bin1011001100000…
…1100101000000
310021022022012001
42303001211000
544003231430
64353513344
71106620600
oct263014500
9107268161
1046930240
1124544425
1213872854
139952096
146338c00
1541c03ca
hex2cc1940

46930240 has 168 divisors, whose sum is σ = 134992872. Its totient is φ = 15482880.

The previous prime is 46930237. The next prime is 46930241. The reversal of 46930240 is 4203964.

46930240 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 46676224 = 504^2 + 6832^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 46930199 and 46930208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46930241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642844 + ... + 642916.

It is an arithmetic number, because the mean of its divisors is an integer number (803529).

Almost surely, 246930240 is an apocalyptic number.

46930240 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 46930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67496436).

46930240 is an abundant number, since it is smaller than the sum of its proper divisors (88062632).

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

46930240 is a wasteful number, since it uses less digits than its factorization.

46930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 46930240 is about 6850.5649402075. The cubic root of 46930240 is about 360.7039722942.

The spelling of 46930240 in words is "forty-six million, nine hundred thirty thousand, two hundred forty".