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541997928 = 233253173821
BaseRepresentation
bin100000010011100…
…011101101101000
31101202212100101100
4200103203231220
52102222413203
6125440521400
716300622613
oct4023435550
91352770340
10541997928
11258a4207a
12131620260
138839b144
1451da917a
15328b1ea3
hex204e3b68

541997928 has 96 divisors (see below), whose sum is σ = 1506084840. Its totient is φ = 176017920.

The previous prime is 541997909. The next prime is 541997947. The reversal of 541997928 is 829799145.

541997928 is a `hidden beast` number, since 541 + 9 + 9 + 7 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (541997909) and next prime (541997947).

It can be written as a sum of positive squares in 4 ways, for example, as 528908004 + 13089924 = 22998^2 + 3618^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659758 + ... + 660578.

Almost surely, 2541997928 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 541997928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753042420).

541997928 is an abundant number, since it is smaller than the sum of its proper divisors (964086912).

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

541997928 is a wasteful number, since it uses less digits than its factorization.

541997928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1052 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 541997928 is about 23280.8489535927. The cubic root of 541997928 is about 815.3283472540.

The spelling of 541997928 in words is "five hundred forty-one million, nine hundred ninety-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 173 212 318 346 424 477 519 636 692 821 954 1038 1272 1384 1557 1642 1908 2076 2463 3114 3284 3816 4152 4926 6228 6568 7389 9169 9852 12456 14778 18338 19704 27507 29556 36676 43513 55014 59112 73352 82521 87026 110028 130539 142033 165042 174052 220056 261078 284066 330084 348104 391617 426099 522156 568132 660168 783234 852198 1044312 1136264 1278297 1566468 1704396 2556594 3132936 3408792 5113188 7527749 10226376 15055498 22583247 30110996 45166494 60221992 67749741 90332988 135499482 180665976 270998964 541997928