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46128540 = 22351395531
BaseRepresentation
bin1010111111110…
…1110110011100
310012210120110110
42233331312130
543302103130
64324410020
71100041353
oct257756634
9105716413
1046128540
1124047067
1213546910
1397311c3
1461aa99a
1540b2ab0
hex2bfdd9c

46128540 has 48 divisors (see below), whose sum is σ = 130112640. Its totient is φ = 12210240.

The previous prime is 46128539. The next prime is 46128541. The reversal of 46128540 is 4582164.

It is an interprime number because it is at equal distance from previous prime (46128539) and next prime (46128541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 46128498 and 46128507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46128541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5575 + ... + 11105.

It is an arithmetic number, because the mean of its divisors is an integer number (2710680).

Almost surely, 246128540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46128540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65056320).

46128540 is an abundant number, since it is smaller than the sum of its proper divisors (83984100).

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

46128540 is a wasteful number, since it uses less digits than its factorization.

46128540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 46128540 is about 6791.7994670043. The cubic root of 46128540 is about 358.6382194532.

The spelling of 46128540 in words is "forty-six million, one hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 5531 8340 11062 16593 22124 27655 33186 55310 66372 82965 110620 165930 331860 768809 1537618 2306427 3075236 3844045 4612854 7688090 9225708 11532135 15376180 23064270 46128540