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541944 = 233313193
BaseRepresentation
bin10000100010011111000
31000112102000
42010103320
5114320234
615341000
74415004
oct2042370
91015360
10541944
11340197
12221760
1315c8a0
14101704
15aa899
hex844f8

541944 has 64 divisors (see below), whose sum is σ = 1629600. Its totient is φ = 165888.

The previous prime is 541927. The next prime is 541951. The reversal of 541944 is 449145.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541944.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2712 + ... + 2904.

2541944 is an apocalyptic number.

541944 is a gapful number since it is divisible by the number (54) 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 541944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814800).

541944 is an abundant number, since it is smaller than the sum of its proper divisors (1087656).

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

541944 is a wasteful number, since it uses less digits than its factorization.

541944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 541944 is about 736.1684589820. The cubic root of 541944 is about 81.5301305032.

It can be divided in two parts, 541 and 944, that added together give a triangular number (1485 = T54).

The spelling of 541944 in words is "five hundred forty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 193 216 234 312 351 386 468 579 702 772 936 1158 1404 1544 1737 2316 2509 2808 3474 4632 5018 5211 6948 7527 10036 10422 13896 15054 20072 20844 22581 30108 41688 45162 60216 67743 90324 135486 180648 270972 541944