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46229040 = 243251113449
BaseRepresentation
bin1011000001011…
…0011000110000
310012222200022200
42300112120300
543313312130
64330503200
71100640354
oct260263060
9105880280
1046229040
1124105620
1213594b00
139767b80
1461d5464
1540d2760
hex2c16630

46229040 has 240 divisors, whose sum is σ = 182800800. Its totient is φ = 10321920.

The previous prime is 46229039. The next prime is 46229041. The reversal of 46229040 is 4092264.

It is an interprime number because it is at equal distance from previous prime (46229039) and next prime (46229041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 46228995 and 46229013.

It is not an unprimeable number, because it can be changed into a prime (46229041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102736 + ... + 103184.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 246229040 is an apocalyptic number.

46229040 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 46229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

46229040 is an abundant number, since it is smaller than the sum of its proper divisors (136571760).

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

46229040 is a wasteful number, since it uses less digits than its factorization.

46229040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46229040 is about 6799.1940698880. The cubic root of 46229040 is about 358.8984849130.

The spelling of 46229040 in words is "forty-six million, two hundred twenty-nine thousand, forty".