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46028460 = 22351395519
BaseRepresentation
bin1010111110010…
…1011010101100
310012121111011210
42233211122230
543240402320
64322314420
71066143522
oct257453254
9105544153
1046028460
1123a88955
12134b8a10
1396c779a
146182312
1540930e0
hex2be56ac

46028460 has 48 divisors (see below), whose sum is σ = 129830400. Its totient is φ = 12183744.

The previous prime is 46028453. The next prime is 46028461. The reversal of 46028460 is 6482064.

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

It is not an unprimeable number, because it can be changed into a prime (46028461) 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, 5581 + ... + 11099.

It is an arithmetic number, because the mean of its divisors is an integer number (2704800).

Almost surely, 246028460 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 46028460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64915200).

46028460 is an abundant number, since it is smaller than the sum of its proper divisors (83801940).

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

46028460 is a wasteful number, since it uses less digits than its factorization.

46028460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 46028460 is about 6784.4277577405. The cubic root of 46028460 is about 358.3786657389.

It can be divided in two parts, 460 and 28460, that added together give a triangular number (28920 = T240).

The spelling of 46028460 in words is "forty-six million, twenty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 5519 8340 11038 16557 22076 27595 33114 55190 66228 82785 110380 165570 331140 767141 1534282 2301423 3068564 3835705 4602846 7671410 9205692 11507115 15342820 23014230 46028460