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541460948 = 227172235101
BaseRepresentation
bin100000010001100…
…000100111010100
31101201212001210012
4200101200213110
52102103222243
6125421215352
716263225230
oct4021404724
91351761705
10541460948
11258705696
12131401558
13882408c2
1451ca95c0
1532807d18
hex204609d4

541460948 has 48 divisors (see below), whose sum is σ = 1151990784. Its totient is φ = 217382400.

The previous prime is 541460947. The next prime is 541460951. The reversal of 541460948 is 849064145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541460947) 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, 103598 + ... + 108698.

It is an arithmetic number, because the mean of its divisors is an integer number (23999808).

Almost surely, 2541460948 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 541460948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575995392).

541460948 is an abundant number, since it is smaller than the sum of its proper divisors (610529836).

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

541460948 is a wasteful number, since it uses less digits than its factorization.

541460948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 541460948 is about 23269.3134406669. The cubic root of 541460948 is about 815.0589983260.

The spelling of 541460948 in words is "five hundred forty-one million, four hundred sixty thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 223 238 446 476 892 1561 3122 3791 5101 6244 7582 10202 15164 20404 26537 35707 53074 71414 86717 106148 142828 173434 346868 607019 1137523 1214038 2275046 2428076 4550092 7962661 15925322 19337891 31850644 38675782 77351564 135365237 270730474 541460948