Search a number
-
+
46240320 = 263572983
BaseRepresentation
bin1011000001100…
…1001001000000
310020000020210110
42300121021000
543314142240
64331031320
71101015300
oct260311100
9106006713
1046240320
1124113045
121359b540
139770049
1461d9600
1540d5c80
hex2c19240

46240320 has 168 divisors, whose sum is σ = 170956224. Its totient is φ = 10558464.

The previous prime is 46240303. The next prime is 46240321. The reversal of 46240320 is 2304264.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (46240321) 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, 46549 + ... + 47531.

Almost surely, 246240320 is an apocalyptic number.

46240320 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 46240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85478112).

46240320 is an abundant number, since it is smaller than the sum of its proper divisors (124715904).

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

46240320 is a wasteful number, since it uses less digits than its factorization.

46240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 46240320 is about 6800.0235293711. The cubic root of 46240320 is about 358.9276732449.

Adding to 46240320 its reverse (2304264), we get a palindrome (48544584).

The spelling of 46240320 in words is "forty-six million, two hundred forty thousand, three hundred twenty".